AbstractWe prove the vanishing of the first Betti number on compact manifolds admitting a Weyl structure whose Ricci tensor satisfies certain positivity conditions, thus obtaining a Bochner-type vanishing theorem in Weyl geometry. We also study compact Hermitian–Weyl manifolds with non-negative symmetric part of the Ricci tensor of the canonical Weyl connection and show that every such manifold has first Betti number b1=1 and Hodge numbers hp,0=0 for p>0, h0,1=1, h0,q=0 for q>1
Let $M^n$ be a compact K$\ddot{a}$hler manifold with almost nonnegative Ricci curvature and nonzero ...
International audienceLet $X$ be a compact Kähler space with klt singularities and vanishing first C...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
AbstractWe prove the vanishing of the first Betti number on compact manifolds admitting a Weyl struc...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
AbstractWe prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with ddc-ha...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
Abstract. We determine an explicit expression for the Ricci tensor of a K-manifold, that is of a com...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
International audienceWe prove a Bochner type vanishing theorem for compact complex manifolds Y in F...
We show the vanishing of the Betti numbers beta(i)(M), 2 = 5 is equivalent to constant sectional cur...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
Abstract: We show that compact, ‐dimensional Riemannian manifolds with ‐nonnegative curvature opera...
We investigate the triviality of compact Ricci solitons under general scalar conditions involving th...
We consider Lorentzian manifolds with parallel light-like vector field V. Being parallel and light-l...
Let $M^n$ be a compact K$\ddot{a}$hler manifold with almost nonnegative Ricci curvature and nonzero ...
International audienceLet $X$ be a compact Kähler space with klt singularities and vanishing first C...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
AbstractWe prove the vanishing of the first Betti number on compact manifolds admitting a Weyl struc...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
AbstractWe prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with ddc-ha...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
Abstract. We determine an explicit expression for the Ricci tensor of a K-manifold, that is of a com...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
International audienceWe prove a Bochner type vanishing theorem for compact complex manifolds Y in F...
We show the vanishing of the Betti numbers beta(i)(M), 2 = 5 is equivalent to constant sectional cur...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
Abstract: We show that compact, ‐dimensional Riemannian manifolds with ‐nonnegative curvature opera...
We investigate the triviality of compact Ricci solitons under general scalar conditions involving th...
We consider Lorentzian manifolds with parallel light-like vector field V. Being parallel and light-l...
Let $M^n$ be a compact K$\ddot{a}$hler manifold with almost nonnegative Ricci curvature and nonzero ...
International audienceLet $X$ be a compact Kähler space with klt singularities and vanishing first C...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
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