Results 131 to 140 of about 2,699,199 (290)

A note on extremal functions for sharp Sobolev inequalities

Electronic Journal of Differential Equations, 2007
In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on
Marcos Montenegro, Ezequiel R. Barbosa
doaj  

Minimal surfaces in $4$-dimensional Riemannian manifolds of constant curvature [PDF]

, 1972
Takehiro Itoh
openalex   +1 more source

A duality theorem for Riemannian foliations in nonnegative sectional curvature [PDF]

arXiv, 2006
Using a new type of Jacobi field estimate we will prove a duality theorem for singular Riemannian foliations in complete manifolds of nonnegative sectional curvature.
arxiv  

On differential operators of second order on Riemannian manifolds with nonpositive curvature [PDF]

, 1974
Udo Simon
openalex   +1 more source

A decomposition analysis of Weyl's curvature tensor via Berwald’s first and second order derivatives in Finsler spaces

Journal of Innovative Applied Mathematics and Computational Sciences
This research paper explores the decomposition of Weyl's curvature tensor through the lens of Berwald’s first and second-order derivatives in Finsler spaces.
Adel Mohammed Ali Al-Qashbari, Moussa Haoues, Fahmi Ahmed Mothana AL-ssallal   +2 more
doaj   +1 more source

Biharmonic submanifolds in a Riemannian manifold with non-positive curvature [PDF]

arXiv, 2012
We show that for an isometric immersion of a complete Riemannian manifold into a Riemannian manifold with non-positive curvature, the norm of the mean curvature vector field is square integrable, then it is minimal. This is a partial affirmative answer of the B. Y. Chen's conjecture.
arxiv  

On Riemannian manifolds with Sasakian $3$-structure of constant horizontal sectional curvature [PDF]

, 1976
Mariko Konishi, Shōichi Funabashi
openalex   +1 more source

Curvature homogeneous riemannian manifolds [PDF]

Annales scientifiques de l'École normale supérieure, 1989
Lieven Vanhecke, F Tricerri
openaire   +2 more sources

Bi-slant Riemannian maps to Kenmotsu manifolds and some optimal inequalities [PDF]

arXiv
In this paper, we introduce bi-slant Riemannian maps from Riemannian manifolds to Kenmotsu manifolds, which are the natural generalizations of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant Riemannian maps, with nontrivial examples. We study these maps and give some curvature relations for $(rangeF_*)^\perp$.
arxiv  

Mean curvature flow of higher codimension in Riemannian manifolds [PDF]

arXiv, 2012
We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies a pinching condition, then along the mean curvature flow the submanifold contracts smoothly to a round point in finite time.
arxiv