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$v$ -projective symmetries of fibered manifolds

Cătălin Tigăeru (1998)

Archivum Mathematicum

We prove that the set of the $v$ -projective symmetries is a Lie algebra.

Valeurs propres immergées dans le spectre continu d'une surface de Riemann

Y. Colin de Verdière (1982/1983)

Séminaire Équations aux dérivées partielles (Polytechnique)

Vanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold

Farah H. Al-Hussaini, Aligadzhi R. Rustanov, Habeeb M. Abood (2020)

Commentationes Mathematicae Universitatis Carolinae

The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are $η$ -Einstein manifolds of type $(α, β)$ . Furthermore, we have determined...

Vanishing of the first reduced cohomology with values in an $L^{p}$ -representation

Romain Tessera (2009)

Annales de l’institut Fourier

We prove that the first reduced cohomology with values in a mixing $L^{p}$ -representation, $1 < p < \infty$ , vanishes for a class of amenable groups including connected amenable Lie groups. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group has no first reduced $ℓ^{p}$ -cohomology. As a byproduct, we prove a conjecture by Pansu. Namely, the first reduced $L^{p}$ -cohomology on homogeneous, closed at infinity, Riemannian manifolds vanishes. We also...

Vanishing Theorems and Almost Symmetrie Spaces of Non-Compact Type.

Ernst A. Ruh, Min-Oo (1981)

Mathematische Annalen

Vanishing theorems for compact hessian manifolds

Hirohiko Shima (1986)

Annales de l'institut Fourier

A manifold is said to be Hessian if it admits a flat affine connection $D$ and a Riemannian metric $g$ such that $g = D^{2} u$ where $u$ is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.

Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space

Guangyue Huang, Hongjuan Li (2016)

Colloquium Mathematicae

We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space $ℍ^{n + 1} (- 1)$ . We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.

Vanishing theorems for the basic cohomology of Riemannian foliations.

P. Tondeur, Maung Min-Oo, E.A. Ruh (1991)

Journal für die reine und angewandte Mathematik

Vanishing theorems for twistor spaces

Antonella Nannicini (1992)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Vanishing theorems on cohomology associated to hermitian symmetric spaces

Shingo Murakami (1987)

Annales de l'institut Fourier

We consider the cohomoly groups of compact locally Hermitian symmetric spaces with coefficients in the sheaf of germs of holomorphic sections of those vector bundles over the spaces which are defined by canonical automorphic factors. We give a quick survey of the research on these cohomology groups, and then discuss vanishing theorems of the cohomology groups.

Variants on Alexandrov reflection principle and other applications of maximum principle

Ricardo Sa Earp, Eric Toubiana (2000/2001)

Séminaire de théorie spectrale et géométrie

Variational calculus on sub-Riemannian manifolds.

Călin, O., Mangione, V. (2003)

Balkan Journal of Geometry and its Applications (BJGA)

Variational equations along integral curves of a projectable system of vector fields

Cătălin Tigăeru (1998)

Czechoslovak Mathematical Journal

Variational metrics on $𝐑 \times T M$ and the geometry of nonconservative mechanics

Olga Krupková (1994)

Mathematica Slovaca

Variational problems and PDEs in affine differential geometry

H. Z. Li (2005)

Banach Center Publications

This paper is part of the autumn school on "Variational problems and higher order PDEs for affine hypersurfaces". We discuss variational problems in equiaffine differential geometry, centroaffine differential geometry and relative differential geometry, which have been studied by Blaschke [Bla], Chern [Ch], C. P. Wang [W], Li-Li-Simon [LLS], and Calabi [Ca-II]. We first derive the Euler-Lagrange equations in these settings; these equations are complicated, strongly nonlinear fourth order PDEs. We...

Currently displaying 1 – 20 of 62