Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Vassilev, Dimiter"'
Autor:
Garofalo, Nicola, Vassilev, Dimiter
In this paper we formulate some conjectures in sub-Riemannian geometry concerning a characterisation of the Koranyi-Kaplan ball in a group of Heisenberg type through the existence of a solution to suitably overdetermined problems. We prove an integra
Externí odkaz:
http://arxiv.org/abs/2309.12567
In this paper we establish the sharp asymptotic decay of positive solutions of the Yamabe type equation $\frlap u=u^{\frac{Q+2s}{Q-2s}}$ in a homogeneous Lie group, where $\frlap$ represents a suitable pseudodifferential operator modelled on a class
Externí odkaz:
http://arxiv.org/abs/2210.16893
Autor:
Vassilev, Dimiter
Corrigenda to "$L^p$ estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities", Trans. Amer. Math. Soc. 363 (2011), no. 1, 37--62.
Externí odkaz:
http://arxiv.org/abs/2210.16888
Autor:
Garofalo, Nicola, Vassilev, Dimiter
Publikováno v:
In Journal of Functional Analysis 15 November 2024 287(10)
We show that a compact quaternionic contact manifold of dimension seven that satisfies a Lichnerowicz-type lower Ricci-type bound and has the $P$-function of any eigenfunction of the sub-Laplacian non-negative achieves its smallest possible eigenvalu
Externí odkaz:
http://arxiv.org/abs/2012.15767
Autor:
Swann, Andrew Francis
Publikováno v:
Swann, A F 2017, ' Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter. Quaternionic contact hypersurfaces in hyper-Kähler manifolds. Ann. Mat. Pura Appl. (4) 196 (2017), no. 1, 245--267. ', MathSciNet .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pure_au_____::02c95e52c5102822b7f5b2de70d1b8dc
https://pure.au.dk/portal/da/publications/ivanov-stefan-minchev-ivan-vassilev-dimiter-quaternionic-contact-hypersurfaces-in-hyperkahler-manifolds-ann-mat-pura-appl-4-196-2017-no-1-245267(c2f09a40-2791-49cf-9ff8-5de82e255a47).html
https://pure.au.dk/portal/da/publications/ivanov-stefan-minchev-ivan-vassilev-dimiter-quaternionic-contact-hypersurfaces-in-hyperkahler-manifolds-ann-mat-pura-appl-4-196-2017-no-1-245267(c2f09a40-2791-49cf-9ff8-5de82e255a47).html
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We show that any compact quaternionic contact (qc) hypersurfaces in a hyper-K\"ahler manifold which is not totally umbilical has an induced qc structure, locally qc homothetic to the standard 3-Sasakian sphere. We also show that any nowhere umbilical
Externí odkaz:
http://arxiv.org/abs/1609.02838
Autor:
Vassilev, Dimiter
Publikováno v:
Pacific J. Math. 289 (2017) 189-201
A proof of the monotonicity of an entropy like energy for the heat equation on a quaternionic contact and CR manifolds is proven
Externí odkaz:
http://arxiv.org/abs/1608.02545
Autor:
Ivanov, Stefan, Vassilev, Dimiter
We report on some aspects and recent progress in certain problems in the sub-Riemannian CR and quaternionic contact (QC) geometries. The focus are the corresponding Yamabe problems on the round spheres, the Lichnerowicz-Obata first eigenvalue estimat
Externí odkaz:
http://arxiv.org/abs/1504.03259