Overview
overview
- Gueo V. Grantcharov is a Professor of Mathematics and Statistics
Publications
selected scholarly works & creative activities
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Article
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2025Fibrations over singular K3 surfaces and new solutions to the Hull-Strominger system. Advances in Mathematics. 482.Full Text via DOI: 10.1016/j.aim.2025.110600 Web of Science: 001600607600001
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2025ON THE TYPE OF GENERALIZED HYPERCOMPLEX STRUCTURES. Serdica Mathematical Journal. 51:89-114.Full Text via DOI: 10.55630/serdica.2025.51.89-114
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2025Special Hermitian structures on suspensions. Mathematische Annalen. 392:1099-1118.Full Text via DOI: 10.1007/s00208-025-03122-9 Web of Science: 001434108800001
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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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2019RELATIONS BETWEEN LAPLACE SPECTRA AND GEOMETRIC QUANTIZATION OF REIMANNIAN SYMMETRIC SPACES. Journal of Geometry and Symmetry in Physics. 51:9-28.Full Text via DOI: 10.7546/jgsp-51-2019-9-28 Web of Science: 000466141500002
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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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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.Full Text via DOI: 10.4310/jdg/1197320602 Web of Science: 000253124900002
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2004Deformations of Kodaira manifolds. Glasgow Mathematical Journal. 46:259-281.Full Text via DOI: 10.1017/S0017089504001752 Web of Science: 000221848800006
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2002Reduction of HKT-structures. Journal of Mathematical Physics. 43:3766-3782.Full Text via DOI: 10.1063/1.1487443 Web of Science: 000176315000023
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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 Web of Science: 000170724900001
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2001Reduction of Sasakian manifolds. Journal of Mathematical Physics. 42:3809-3816.Full Text via DOI: 10.1063/1.1386636 Web of Science: 000169929700036
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2001The 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
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2000Geometry of hyper-Kahler connections with torsion. Communications in Mathematical Physics. 213:19-37.Full Text via DOI: 10.1007/s002200000231 Web of Science: 000089514600002
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1999Orthogonal complex structures on certain Riemannian 6-manifolds. Differential Geometry and its Application. 11:279-296.Full Text via DOI: 10.1016/S0926-2245(99)00041-8 Web of Science: 000084170500007
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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 Web of Science: 000082655300007
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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 Web of Science: 000077804900003
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1998Hermitian 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
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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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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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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
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Book Chapter
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2025A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds. 93-108.Full Text via DOI: 10.1007/978-3-031-92297-8_4
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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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2025$\del\delbar$-Lemma and Bott-Chern cohomology of twistor spacesFull Text via DOI: 10.48550/arxiv.2508.04177
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2022Complex surfaces and null conformal Killing vector fieldsFull Text via DOI: 10.48550/arxiv.2204.13770
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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
Research
principal investigator on
- 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
Contact
full name
- Gueo Grantcharov
