Dimiter N. Vassilev, Ph.D.

Affiliations: 
2000 Purdue University, West Lafayette, IN, United States 
Area:
Mathematics
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"Dimiter Vassilev"

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Nicola Garofalo grad student 2000 Purdue
 (Yamabe equations on Carnot groups.)
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Publications

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Ivanov S, Minchev I, Vassilev D. (2019) Non-Umbilical Quaternionic Contact Hypersurfaces in Hyper-Kähler Manifolds International Mathematics Research Notices. 2019: 5649-5673
Vassilev D. (2017) Convexity of the entropy of positive solutions to the heat equation on quaternionic contact and CR manifolds Pacific Journal of Mathematics. 289: 189-201
Ivanov S, Minchev IM, Vassilev D. (2016) Quaternionic contact Einstein manifolds Mathematical Research Letters. 23: 1405-1432
Ivanov S, Vassilev D. (2015) The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds Nonlinear Analysis, Theory, Methods and Applications. 126: 262-323
Fernández M, Ivanov S, Ugarte L, et al. (2015) Quaternionic heisenberg group and heterotic string solutions with non-constant dilaton in dimensions 7 and 5 Communications in Mathematical Physics. 339: 199-219
Ivanov S, Vassilev D. (2014) An obata-type theorem on a three-dimensional cr manifold Glasgow Mathematical Journal. 56: 283-294
Ivanov S, Petkov A, Vassilev D. (2014) The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold Journal of Geometric Analysis. 24: 756-778
Fernández M, Ivanov S, Ugarte L, et al. (2014) Non-Kaehler heterotic string solutions with non-zero fluxes and non-constant dilaton Journal of High Energy Physics. 2014
Ivanov S, Petkov A, Vassilev D. (2013) The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven Nonlinear Analysis, Theory, Methods and Applications. 93: 51-61
Ivanov S, Vassilev D. (2013) An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion Journal of Geometry. 1-30
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