Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Zadeh, Mostafa Esfahani"'
Publikováno v:
J. Noncommut. Geom. 12 (2018), no. 2, 439-456
Let M be a complete n-dimensional Riemannian spin manifold, partitioned by q two-sided hypersurfaces which have a compact transverse intersection N and which in addition satisfy a certain coarse transversality condition. Let E be a Hermitean bundle w
Externí odkaz:
http://arxiv.org/abs/1308.0742
Autor:
Zadeh, Mostafa Esfahani
In this note we study the relative Kervaire semi-characteristic and prove its invariance under cut-and-past operation. Our approach is analytic and follow very closely the method introduced by W. Zhang
Externí odkaz:
http://arxiv.org/abs/1110.2447
Autor:
Zadeh, Mostafa Esfahani
In this short note we show how the higher index theory can be used to prove results concerning the non-existence of complete riemannian metric with uniformly positive scalar curvature at infinity. By improving some classical results due to M. Gromov
Externí odkaz:
http://arxiv.org/abs/0912.3352
Autor:
Zadeh, Mostafa Esfahani
In this short note we apply methods introduced by B. Hanke and T. Shick to prove the vanishing of (low dimensional) higher $A$-genera for spin manifolds admitting a positive scalar curvature metric. Our aim is to provide a short and unified proof for
Externí odkaz:
http://arxiv.org/abs/0906.1152
Autor:
Zadeh, Mostafa Esfahani
In this paper we state and prove a higher index theorem for an odd-dimensional connected spin riemannian manifold $(M,g)$ which is partitioned by an oriented closed hypersurface $N$. This index theorem generalizes a theorem due to N. Higson and J. Ro
Externí odkaz:
http://arxiv.org/abs/0812.1445
Autor:
Zadeh, Mostafa Esfahani
The aim of this paper is to provide a proof for a version of Morse inequality for manifolds with boundary. Our main results are certainly known to the experts on Morse theory, nevertheless it seems necessary to write down a complete proof for it. Our
Externí odkaz:
http://arxiv.org/abs/0807.5122
Autor:
Zadeh, Mostafa Esfahani
In this paper we state and prove Morse type inequalities for Morse functions as well as for closed differential 1-forms. These inequalities involve delocalized Betti numbers. As an immediate consequence, we prove the vanishing of delocalized Betti nu
Externí odkaz:
http://arxiv.org/abs/0807.5115
Autor:
Zadeh, Mostafa Esfahani
Following Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus of Melrose, we give a formula for the Chern character of the Dirac index class of a longitudinal Dirac type operators on a foliated manifold with boundary. For
Externí odkaz:
http://arxiv.org/abs/math/0701482
Autor:
ZADEH, MOSTAFA ESFAHANI
Publikováno v:
Proceedings of the American Mathematical Society, 2012 Oct 01. 140(10), 3663-3672.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9939-2012-11544-8
Autor:
ZADEH, MOSTAFA ESFAHANI
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2011 Jan 01. 41(4), 1361-1374.
Externí odkaz:
https://www.jstor.org/stable/44240003