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Grantcharov, Gueo
Graduate Faculty
Positions
Professor
,
Mathematics and Statistics
,
College of Arts, Sciences & Education
grantchg@fiu.edu
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Overview
Scholarly & Creative Works
Research
Contact
Identifiers
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Overview
biography
Gueo V. Grantcharov is a Professor of Mathematics and Statistics
research interests
Differential Geometry with specialization in Riemanian and complex geometry and geometric structures on manifolds.
Scholarly & Creative Works
selected scholarly works & creative activities
Article
2025
Special Hermitian structures on suspensions
.
MATHEMATISCHE ANNALEN
.
Full Text via DOI:
10.1007/s00208-025-03122-9
Web of Science:
001434108800001
2024
CYT and SKT manifolds with parallel Bismut torsion
Full Text via DOI:
10.1017/prm.2024.115
Web of Science:
001358029900001
2024
A survey on pluriclosed and CYT metrics
Full Text via DOI:
10.55630/serdica.2024.50.103-124
2024
The pluriclosed flow for
T
2-invariant Vaisman metrics on the Kodaira-Thurston surface
.
JOURNAL OF GEOMETRY AND PHYSICS
. 201.
Full Text via DOI:
10.1016/j.geomphys.2024.105197
Web of Science:
001230052300001
2023
Laplace Eigenfunctions on Riemannian Symmetric Spaces and Borel-Weil Theorem
.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
. 2023:13940-13977.
Full Text via DOI:
10.1093/imrn/rnac214
Web of Science:
000943287000001
2023
Complex Surfaces and Null Conformal Killing Vector Fields
.
JOURNAL OF GEOMETRIC ANALYSIS
. 33.
Full Text via DOI:
10.1007/s12220-023-01265-2
Web of Science:
000980611300001
2023
CYT and SKT Metrics on Compact Semi-Simple Lie Groups
Full Text via DOI:
10.3842/SIGMA.2023.028
Web of Science:
001177273000001
2021
Solutions to the Hull-Strominger System with Torus Symmetry
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
. 388:947-967.
Full Text via DOI:
10.1007/s00220-021-04223-7
Web of Science:
000707840600001
2019
Astheno-Kahler and Balanced Structures on Fibrations
.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
. 2019:7093-7117.
Full Text via DOI:
10.1093/imrn/rnx337
Web of Science:
000504081100008
2019
RELATIONS BETWEEN LAPLACE SPECTRA AND GEOMETRIC QUANTIZATION OF REIMANNIAN SYMMETRIC SPACES
Full Text via DOI:
10.7546/jgsp-51-2019-9-28
Web of Science:
000466141500002
2018
Algebraic dimension of complex nilmanifolds
Full Text via DOI:
10.1016/j.matpur.2017.11.010
Web of Science:
000446152300006
2017
Solvable Lie algebras and graphs
.
JOURNAL OF ALGEBRA
. 491:474-489.
Full Text via DOI:
10.1016/j.jalgebra.2017.08.015
Web of Science:
000411915600020
2017
Existence of HKT metrics on hypercomplex manifolds of real dimension 8
.
ADVANCES IN MATHEMATICS
. 320:1135-1157.
Full Text via DOI:
10.1016/j.aim.2017.09.020
Web of Science:
000413884400032
2016
On Functions of Several Split-Quaternionic Variables
.
ADVANCES IN MATHEMATICAL PHYSICS
. 2016.
Full Text via DOI:
10.1155/2016/3654530
Web of Science:
000373139000001
2015
Poisson structures on twistor spaces of hyperkahler and HKT manifolds
.
JOURNAL OF GEOMETRY AND PHYSICS
. 91:131-140.
Full Text via DOI:
10.1016/j.geomphys.2015.02.004
Web of Science:
000353600100012
2013
Tamed symplectic forms and generalized geometry
.
JOURNAL OF GEOMETRY AND PHYSICS
. 71:103-116.
Full Text via DOI:
10.1016/j.geomphys.2013.04.006
Web of Science:
000321079200009
2013
CALIBRATIONS IN HYPER-KAHLER GEOMETRY
.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
. 15.
Full Text via DOI:
10.1142/S0219199712500605
Web of Science:
000316946900004
2012
Compact complex surfaces with geometric structures related to split quaternions
.
NUCLEAR PHYSICS B
. 865:330-352.
Full Text via DOI:
10.1016/j.nuclphysb.2012.07.024
Web of Science:
000308780200006
2011
Generalized Pseudo-Kahler Structures
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
. 304:49-68.
Full Text via DOI:
10.1007/s00220-011-1213-1
Web of Science:
000289729900002
2011
Geometry of compact complex homogeneous spaces with vanishing first Chern class
.
ADVANCES IN MATHEMATICS
. 226:3136-3159.
Full Text via DOI:
10.1016/j.aim.2010.10.005
Web of Science:
000286690600008
2009
CURVATURE PROPERTIES OF THE CHERN CONNECTION OF TWISTOR SPACES
.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
. 39:27-48.
Full Text via DOI:
10.1216/RMJ-2009-39-1-27
Web of Science:
000269957100003
2009
Para-hyperhermitian surfaces
.
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
. 52:281-289.
Web of Science:
000269591700008
2008
Deformations of hypercomplex structures associated to Heisenberg groups
.
QUARTERLY JOURNAL OF MATHEMATICS
. 59:335-362.
Full Text via DOI:
10.1093/qmath/ham040
Web of Science:
000258473700005
2008
Calabi-Yau connections with torsion on toric bundles
.
JOURNAL OF DIFFERENTIAL GEOMETRY
. 78:13-32.
Web of Science:
000253124900002
2004
Properties of manifolds with skew-symmetric torsion and special holonomy
.
ADVANCES IN MATHEMATICS
. 189:439-450.
Full Text via DOI:
10.1016/j.aim.2003.10.009
Web of Science:
000225198900006
2004
Deformations of Kodaira manifolds
.
GLASGOW MATHEMATICAL JOURNAL
. 46:259-281.
Full Text via DOI:
10.1017/S0017089504001752
Web of Science:
000221848800006
2002
Reduction of HKT-structures
.
JOURNAL OF MATHEMATICAL PHYSICS
. 43:3766-3782.
Full Text via DOI:
10.1063/1.1487443
Web of Science:
000176315000023
2001
Twistorial examples of *-Einstein manifolds
.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
. 20:103-115.
Full Text via DOI:
10.1023/A:1017378702559
Web of Science:
000170724900001
2001
Reduction of Sasakian manifolds
.
JOURNAL OF MATHEMATICAL PHYSICS
. 42:3809-3816.
Full Text via DOI:
10.1063/1.1386636
Web of Science:
000169929700036
2001
The Dolbeault operator on hermitian spin surfaces
.
ANNALES DE L INSTITUT FOURIER
. 51:221-+.
Full Text via DOI:
10.5802/aif.1822
Web of Science:
000167826600011
2000
Geometry of hyper-Kahler connections with torsion
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
. 213:19-37.
Full Text via DOI:
10.1007/s002200000231
Web of Science:
000089514600002
1999
Orthogonal complex structures on certain Riemannian 6-manifolds
.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
. 11:279-296.
Full Text via DOI:
10.1016/S0926-2245(99)00041-8
Web of Science:
000084170500007
1999
Bihermitian structures on complex surfaces
.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
. 79:414-428.
Full Text via DOI:
10.1112/S0024611599012058
Web of Science:
000082655300007
1998
An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form
.
JOURNAL OF GEOMETRY AND PHYSICS
. 28:263-270.
Full Text via DOI:
10.1016/S0393-0440(97)00080-6
Web of Science:
000077804900003
1998
Hermitian structures on twister spaces
.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
. 16:291-308.
Full Text via DOI:
10.1023/A:1006548030918
Web of Science:
000074271000005
1998
Curvature properties of twistor spaces of quaternionic kahler manifolds
.
JOURNAL OF GEOMETRY
. 62:1-12.
Full Text via DOI:
10.1007/BF01237595
1994
Hermitian *-einstein surfaces
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 120:233-239.
Full Text via DOI:
10.1090/S0002-9939-1994-1186132-9
1993
Hermitian structures on Hermitian symmetric spaces
.
JOURNAL OF GEOMETRY AND PHYSICS
. 10:245-249.
Full Text via DOI:
10.1016/0393-0440(93)90017-9
Kahler curvature identities for twistor spaces
.
ILLINOIS JOURNAL OF MATHEMATICS
. 39:627-634.
Full Text via DOI:
10.1215/ijm/1255986269
Web of Science:
A1995UB59200008
Book Chapter
2004
Hyper-Hermitian manifolds and connections with skew-symmetric torsion
. 167-183.
Web of Science:
000188743900011
2003
On some complex manifolds with torus symmetry
. 1-8.
Full Text via DOI:
10.1090/conm/337/06047
Conference
2001
A NOTE ON THE REDUCTION OF SASAKIAN MANIFOLDS
. 137-142.
Full Text via DOI:
10.1142/9789812810038_0008
Other Scholarly Work
2024
The pluriclosed flow for T
2
-invariant Vaisman metrics on the Kodaira-Thurston surface( vol 201, 105197, 2024)
.
JOURNAL OF GEOMETRY AND PHYSICS
.
Full Text via DOI:
10.1016/j.geomphys.2024.105254
Web of Science:
001346362100001
2006
Bihermitian structures on complex surfaces (vol 79, pg 414, 1999)
.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
. 200-202.
Full Text via DOI:
10.1017/S0024611505015510
Web of Science:
000234816800007
Preprint
2025
Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System
Full Text via DOI:
10.48550/arxiv.2501.03384
2024
On the type of generalized hypercomplex structures
Full Text via DOI:
10.48550/arxiv.2410.20422
2024
On the \texorpdfstring{$\nu$}{nu}-invariant of two-step nilmanifolds with closed \texorpdfstring{$\mathrm G_2$}{G2}-structure
Full Text via DOI:
10.48550/arxiv.2409.06870
2024
CYT and SKT manifolds with parallel Bismut torsion
Full Text via DOI:
10.48550/arxiv.2401.07800
2023
The pluriclosed flow for $T^2$-invariant Vaisman metrics on the Kodaira-Thurston surface
Full Text via DOI:
10.48550/arxiv.2309.15937
2022
CYT and SKT Metrics on Compact Semi-Simple Lie Groups
Full Text via DOI:
10.48550/arxiv.2212.07915
2022
Special Hermitian structures on suspensions
Full Text via DOI:
10.48550/arxiv.2208.12168
2022
Complex surfaces and null conformal Killing vector fields
Full Text via DOI:
10.48550/arxiv.2204.13770
2021
Laplace eigenfunctions on Riemannian symmetric spaces and Borel-Weil Theorem
Full Text via DOI:
10.48550/arxiv.2102.06255
2019
Solutions to the Hull-Strominger system with torus symmetry
Full Text via DOI:
10.48550/arxiv.1901.10322
2016
Astheno-Kähler and balanced structures on fibrations
Full Text via DOI:
10.48550/arxiv.1608.06743
2016
Solvable Lie algebras and graphs
Full Text via DOI:
10.48550/arxiv.1604.07856
2016
Algebraic dimension of complex nilmanifolds
Full Text via DOI:
10.48550/arxiv.1603.01877
2014
Poisson structures on twistor spaces of hyperkaehler and HKT manifolds
Full Text via DOI:
10.48550/arxiv.1410.8854
2014
Existence of HKT metrics on hypercomplex manifolds of real dimension 8
Full Text via DOI:
10.48550/arxiv.1409.3280
2012
Compact complex surfaces with geometric structures related to split quaternions
Full Text via DOI:
10.48550/arxiv.1205.2580
2011
Tamed Symplectic forms and Generalized Geometry
Full Text via DOI:
10.48550/arxiv.1112.2592
2010
Calibrations in hyperkahler geometry
Full Text via DOI:
10.48550/arxiv.1009.1178
2009
Generalized pseudo Kaehler structures
Full Text via DOI:
10.48550/arxiv.0909.2011
2009
Para-hyperhermitian surfaces
Full Text via DOI:
10.48550/arxiv.0906.0546
2009
Geometry of compact complex homogeneous spaces with vanishing first Chern class
Full Text via DOI:
10.48550/arxiv.0905.0040
2008
Geometry of neutral metrics in dimesnion four
Full Text via DOI:
10.48550/arxiv.0804.2132
2006
Deformations of hypercomplex structures related to Heisenberg groups
Full Text via DOI:
10.48550/arxiv.math/0611880
2005
Curvature properties of the Chern connection of twistor spaces
Full Text via DOI:
10.48550/arxiv.math/0503384
2003
Calabi-Yau Connections with Torsion on Toric Bundles
Full Text via DOI:
10.48550/arxiv.math/0306207
2003
On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n)
Full Text via DOI:
10.48550/arxiv.math/0302358
2002
Reduction of HKT-Structures
Full Text via DOI:
10.48550/arxiv.math/0201159
1999
Reduction of Sasakian manifolds
Full Text via DOI:
10.48550/arxiv.math/9909127
1999
Geometry of Hyper-Kähler Connections with Torsion
Full Text via DOI:
10.48550/arxiv.math/9908015
1999
The Dolbeault operator on Hermitian spin surfaces
Full Text via DOI:
10.48550/arxiv.math/9902005
Research
principal investigator on
Geometry of non-Kaehler complex manifolds
awarded by
Simons Foundation
2021 - 2026
Geometry of non-Kaehler complex manifolds
awarded by
Simons Foundation
2021 - 2026
Geometry of Complex Non-Kaehler Manifolds
awarded by
Simons Foundation
2012 - 2018
Lie Algebras and Geometric Structures for UG
awarded by
Mathematical Association of America
2011
co-principal investigator on
Grant
Geometry of non-Kaehler complex manifolds
awarded by
Simons Foundation
2021 - 2026
Conference in Symmetry and Geometric Structures
awarded by
National Science Foundation
2023 - 2025
subproject principal investigator on
Geometry of non-Kaehler complex manifolds
awarded by
Simons Foundation
2021 - 2026
Contact
full name
Gueo
Grantcharov
Identifiers
ORCID iD
https://orcid.org/0000-0001-9942-728X
(confirmed)
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publication subject areas
Mathematics
Physics
Citation index-derived subject areas the researcher has published in