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
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Article
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2023Laplace 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
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2023Complex 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
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2023CYT and SKT Metrics on Compact Semi-Simple Lie GroupsFull Text via DOI: 10.3842/SIGMA.2023.028 Web of Science: 001177273000001
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2021Solutions 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
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2019Astheno-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
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2019RELATIONS BETWEEN LAPLACE SPECTRA AND GEOMETRIC QUANTIZATION OF REIMANNIAN SYMMETRIC SPACESFull Text via DOI: 10.7546/jgsp-51-2019-9-28 Web of Science: 000466141500002
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2018Algebraic dimension of complex nilmanifoldsFull Text via DOI: 10.1016/j.matpur.2017.11.010 Web of Science: 000446152300006
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2017Solvable 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
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2017Existence 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
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2016On Functions of Several Split-Quaternionic Variables. ADVANCES IN MATHEMATICAL PHYSICS. 2016.Full Text via DOI: 10.1155/2016/3654530 Web of Science: 000373139000001
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2015Poisson 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
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2013Tamed 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
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2013CALIBRATIONS IN HYPER-KAHLER GEOMETRY. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. 15.Full Text via DOI: 10.1142/S0219199712500605 Web of Science: 000316946900004
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2012Compact 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
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2011Generalized Pseudo-Kahler Structures. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 304:49-68.Full Text via DOI: 10.1007/s00220-011-1213-1 Web of Science: 000289729900002
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2011Geometry 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
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2009CURVATURE 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
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2009Para-hyperhermitian surfaces. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. 52:281-289.Web of Science: 000269591700008
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2008Deformations 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
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2008Calabi-Yau connections with torsion on toric bundles. JOURNAL OF DIFFERENTIAL GEOMETRY. 78:13-32.Web of Science: 000253124900002
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2004Properties 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
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2004Deformations of Kodaira manifolds. GLASGOW MATHEMATICAL JOURNAL. 46:259-281.Full Text via DOI: 10.1017/S0017089504001752
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2002Reduction of HKT-structures. JOURNAL OF MATHEMATICAL PHYSICS. 43:3766-3782.Full Text via DOI: 10.1063/1.1487443
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2001Twistorial Examples of *-Einstein Manifolds. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. 20:103-115.Full Text via DOI: 10.1023/A:1017378702559
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2001Reduction of Sasakian manifolds. JOURNAL OF MATHEMATICAL PHYSICS. 42:3809-3816.Full Text via DOI: 10.1063/1.1386636
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2001The Dolbeault operator on Hermitian spin surfaces. ANNALES DE L INSTITUT FOURIER. 51:221-235.Full Text via DOI: 10.5802/aif.1822
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2000Geometry of hyper-kähler connections with torsion. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 213:19-37.Full Text via DOI: 10.1007/s002200000231
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1999Orthogonal 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
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1999Bihermitian structures on complex surfaces. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. 79:414-428.Full Text via DOI: 10.1112/S0024611599012058
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1998An 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
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1998Curvature properties of twistor spaces of quaternionic kahler manifolds. JOURNAL OF GEOMETRY. 62:1-12.Full Text via DOI: 10.1007/BF01237595
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1998Hermitian Structures on Twistor Spaces. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. 16:291-308.Full Text via DOI: 10.1023/A:1006548030918
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1995Kähler curvature identities for twistor spaces1. ILLINOIS JOURNAL OF MATHEMATICS. 39:627-364.Full Text via DOI: 10.1215/ijm/1255986269
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1994Hermitian *-einstein surfaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 120:233-239.Full Text via DOI: 10.1090/S0002-9939-1994-1186132-9
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1993Hermitian structures on Hermitian symmetric spaces. JOURNAL OF GEOMETRY AND PHYSICS. 10:245-249.Full Text via DOI: 10.1016/0393-0440(93)90017-9
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Book Chapter
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2004Hyper-Hermitian manifolds and connections with skew-symmetric torsion. 167-183.Web of Science: 000188743900011
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Conference
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2001A NOTE ON THE REDUCTION OF SASAKIAN MANIFOLDS. 137-142.Full Text via DOI: 10.1142/9789812810038_0008
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Other Scholarly Work
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2006Bihermitian 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
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Preprint
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2024CYT and SKT manifolds with parallel Bismut torsionFull Text via DOI: 10.48550/arxiv.2401.07800
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2022CYT and SKT Metrics on Compact Semi-Simple Lie GroupsFull Text via DOI: 10.48550/arxiv.2212.07915
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2022Complex surfaces and null conformal Killing vector fieldsFull Text via DOI: 10.48550/arxiv.2204.13770
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2019Solutions to the Hull-Strominger system with torus symmetryFull Text via DOI: 10.48550/arxiv.1901.10322
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2016Astheno-Kähler and balanced structures on fibrationsFull Text via DOI: 10.48550/arxiv.1608.06743
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2014Poisson structures on twistor spaces of hyperkaehler and HKT manifoldsFull Text via DOI: 10.48550/arxiv.1410.8854
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2014Existence of HKT metrics on hypercomplex manifolds of real dimension 8Full Text via DOI: 10.48550/arxiv.1409.3280
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2006Deformations of hypercomplex structures related to Heisenberg groupsFull Text via DOI: 10.48550/arxiv.math/0611880
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2005Curvature properties of the Chern connection of twistor spacesFull Text via DOI: 10.48550/arxiv.math/0503384
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2003Calabi-Yau Connections with Torsion on Toric BundlesFull Text via DOI: 10.48550/arxiv.math/0306207
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1999Geometry of Hyper-Kähler Connections with TorsionFull Text via DOI: 10.48550/arxiv.math/9908015
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1999The Dolbeault operator on Hermitian spin surfacesFull Text via DOI: 10.48550/arxiv.math/9902005
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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
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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)
visualizations
publication subject areas
Citation index-derived subject areas the researcher has published in