Results 21 to 30 of about 570 (49)

On the $r-$stability of spacelike hypersurfaces

, 2009
In this paper we study the strong stability of spacelike hypersurfaces with constant $r$-th mean curvature in Generalized Robertson-Walker spacetimes of constant sectional curvature.
A. Caminha, Alías, Alías, Barbosa, Barbosa, Barbosa, Barbosa, Barros, Barros, Brasil, Caminha, F. Camargo, H. de Lima, Liu, M. da Silva, Montiel, O’Neill, Xin   +17 more
core   +1 more source

Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains

, 2001
We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.Comment: 15 pages, LaTeX (published ...
Finster, Felix, Schnuerer, Oliver C.
core   +2 more sources

The Gauss map and total curvature of complete minimal Lagrangian surfaces in the complex two-space [PDF]

, 2015
The purpose of this paper is to reveal the relationship between the total curvature and the global behavior of the Gauss map of a complete minimal Lagrangian surface in the complex two-space. To achieve this purpose, we show the precise maximal number of
Aiyama, Reiko, Akutagawa, Kazuo, Kawakami, Yu   +2 more
core  

The space of non-degenerate closed curves in a Riemannian manifold [PDF]

, 2012
Let LM be the semigroup of non-degenerate based loops with a fixed initial/final frame in a Riemannian manifold M of dimension at least three. We compare the topology of LM to that of the loop space Omega FTM on the bundle of frames in the tangent bundle
Mostovoy, Jacob, Sadykov, Rustam
core  

A vase of catenoids

, 2016
In this note we construct a vase of catenoids - a symmetric immersed minimal surface with planar and catenoid ...
Connor, Peter
core  

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source

Li-Yau inequalities for the Helfrich functional and applications. [PDF]

Calc Var Partial Differ Equ, 2023
Rupp F, Scharrer C.
europepmc   +1 more source

Biharmonic C-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms

, 2016
This paper corrects the classification result for biharmonic C-parallel Legendrian submanifolds presented by D. Fetcu and C. Oniciuc in [Tohoku Math. J.
Sasahara, Toru
core  

Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]

J Geom Anal, 2018
Chen GG, Li S.
europepmc   +1 more source

Planar Pseudo-geodesics and Totally Umbilic Submanifolds. [PDF]

J Geom Anal
Markvorsen S, Raffaelli M.
europepmc   +1 more source