Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the curvatures of a piece of hypersurface in Euclidean space - MaRDI portal

On the curvatures of a piece of hypersurface in Euclidean space

From MaRDI portal
Publication:2524502

DOI10.1007/BF02996311zbMath0147.20901OpenAlexW2004320596MaRDI QIDQ2524502

Shiing-shen Chern

Publication date: 1965

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02996311



Related Items

Geometric calculus of the Gauss map, Unnamed Item, Geometric properties of surfaces with the same mean curvature in \(\mathbb{R}^3\) and \(\mathbb{L}^3\), Rigidity results for self-shrinking surfaces in \(\mathbb{R}^4\), Stable hypersurfaces with constant scalar curvature, Entire unbounded constant mean curvature Killing graphs, Recent rigidity results for graphs with prescribed mean curvature, \(p\)-Fundamental tone estimates of submanifolds with bounded mean curvature, Heinz mean curvature estimates in warped product spaces \(M\times _{e^{\psi }}N\), Differential geometry of submanifolds, New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space, On the Sacksteder decomposition of complete W-hypersurfaces of nonnegative sectional curvature, On Bernstein–Heinz–Chern–Flanders inequalities, On a Piece of Hypersurface in a Riemannian Manifold with Mean Curvature Bounded away from Zero, Liouville-type results for stationary maps of a class of functional related to pullback metrics, Curvature estimates for graphs in warped product spaces, On complete hypersurfaces with negative Ricci curvature in Euclidean spaces, On a piece of surface in a fibred space, Height estimates for Killing graphs, Entire bounded constant mean curvature Killing graphs, Heinz-type mean curvature estimates in Lorentz-Minkowski space, Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space, Convex functions on Grassmannian manifolds and Lawson-Osserman problem, On non-parametric surfaces in three dimensional spheres, Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth, On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products, Maximal surfaces in Lorentzian Heisenberg space, On vanishing theorems for vector bundle valued \(p\)-forms and their applications, Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: nonexistence and rigidity, Bernstein-Heinz-Chern results in calibrated manifolds, Bernstein theorems for length and area decreasing minimal maps, Heinz type estimates for graphs in Euclidean space, Surfaces of negative curvature, A splitting theorem for capillary graphs under Ricci lower bounds, Bernstein type result for constant mean curvature hypersurface, Curvature estimates for graphs over Riemannian domains, On the behavior of complete graphs in \({\mathbb{R}^{n+1}}\) with \(L^{p}\)-finite \(r\)-curvature, Stability of a constant mean curvature surface in R3, On the nonexistence of a hypersurface of prescribed mean curvature with a given boundary, A Bernstein‐type theorem in hyperbolic spaces, Sharp estimates for the size of balls in the complement of a hypersurface, On complete hypersurfaces with constant mean curvature and finite \(L^p\)-norm curvature in \(\mathbb R^{n+1}\), Foliations by hypersurfaces with constant mean curvature, On a class of graphs with prescribed mean curvature



Cites Work