Results 31 to 40 of about 1,408 (59)

Curvature flow of complete convex hypersurfaces in hyperbolic space [PDF]

open access: yesarXiv, 2011
We investigate the existence, convergence and uniqueness of modified general curvature flow of convex hypersurfaces in hyperbolic space with a prescribed asymptotic boundary.
arxiv  

The r-mean curvature and rigidity of compact hypersurfaces in the Euclidean space [PDF]

open access: yesarXiv, 2020
In this paper, we characterize round spheres in the Euclidean space under some suitable conditions on the r-mean curvature.
arxiv  

Evolution of spacelike surfaces in anti-De Sitter space by their Lagrangian angle [PDF]

open access: yesarXiv, 2011
We study spacelike hypersurfaces in anti-De Sitter spacetime that evolve by the Lagrangian angle of their Gau\ss\ maps.
arxiv  

Ricci solitons on Sasakian manifolds [PDF]

open access: yesarXiv, 2011
We show that a Sasakian metric which also satisfies the gradient Ricci soliton equation is necessarily Einstein.
arxiv  

Ricci Lower Bound for Kähler-Ricci Flow [PDF]

open access: yesarXiv, 2011
In this note, we provide some general discussion on the Ricci lower bound along K\"ahler-Ricci flow with singularity over closed manifold.
arxiv  

A minimising movement scheme for the p-elastic energy of curves. [PDF]

open access: yesJ Evol Equ, 2022
Blatt S, Hopper CP, Vorderobermeier N.
europepmc   +1 more source

Affine-geometric Wirtinger inequality [PDF]

open access: yesarXiv, 2012
A generalization of the affine-geometric Wirtinger inequality for curves to hypersurfaces is given.
arxiv  

Scalar curvature behavior of homogeneous Ricci flows [PDF]

open access: yesarXiv, 2012
We prove that the scalar curvature of a homogeneous Ricci flow solution blows up at a forward or backward finite-time singularity.
arxiv  

An immersed $S^2$ self-shrinker [PDF]

open access: yesarXiv, 2013
We construct an immersed and non-embedded $S^2$ self-shrinker.
arxiv  

On kappa-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity [PDF]

open access: yesarXiv, 2015
We discuss some geometric conditions under which a complete noncompact shrinking gradient Ricci soliton will split at infinity.
arxiv  

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