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
AbstractIn this paper we consider Hamilton's Ricci flow on a 3-manifold with a metric of positive sc...
Let $M$ be an open Riemannian $n$-manifold with nonnegative Ricci curvature. We prove that if the fi...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
AbstractWe prove the vanishing of the first Betti number on compact manifolds admitting a Weyl struc...
AbstractWe prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with ddc-ha...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
Let $M^n$ be a compact K$\ddot{a}$hler manifold with almost nonnegative Ricci curvature and nonzero ...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diamet...
Abstract. We determine an explicit expression for the Ricci tensor of a K-manifold, that is of a com...
We survey several problems concerning Riemannian manifolds with positive curvature of one form or an...
AbstractOn compact balanced Hermitian manifolds we obtain obstructions to the existence of harmonic ...
We construct examples of compact homogeneous Riemannian manifolds admitting an invariant Bismut conn...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
AbstractIn this paper we consider Hamilton's Ricci flow on a 3-manifold with a metric of positive sc...
Let $M$ be an open Riemannian $n$-manifold with nonnegative Ricci curvature. We prove that if the fi...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
AbstractWe prove the vanishing of the first Betti number on compact manifolds admitting a Weyl struc...
AbstractWe prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with ddc-ha...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
Let $M^n$ be a compact K$\ddot{a}$hler manifold with almost nonnegative Ricci curvature and nonzero ...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diamet...
Abstract. We determine an explicit expression for the Ricci tensor of a K-manifold, that is of a com...
We survey several problems concerning Riemannian manifolds with positive curvature of one form or an...
AbstractOn compact balanced Hermitian manifolds we obtain obstructions to the existence of harmonic ...
We construct examples of compact homogeneous Riemannian manifolds admitting an invariant Bismut conn...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
AbstractIn this paper we consider Hamilton's Ricci flow on a 3-manifold with a metric of positive sc...
Let $M$ be an open Riemannian $n$-manifold with nonnegative Ricci curvature. We prove that if the fi...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
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