Submanifolds with constant scalar curvature

DOI10.1017/S0308210500002067zbMath1028.53002MaRDI QIDQ4799306

Qing-Ming Cheng

Publication date: 21 January 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

scalar curvaturetotally geodesic submanifoldtotally umbilical submanifoldcomplete submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (10)

Submanifolds with constant scalar curvature in a space form ⋮ Characterizations of linear Weingarten submanifolds ⋮ Submanifolds with constant scalar curvature in a unit sphere ⋮ A sphere theorem for pinching positive scalar curvature manifolds ⋮ Rigidity of spacelike LW-submanifolds in the de Sitter space ⋮ New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles ⋮ Classification of pinched positive scalar curvature manifolds ⋮ A Möbius characterization of submanifolds ⋮ On complete submanifolds with bounded mean curvature ⋮ Sharp Simons type integral inequalities for closed linear Weingarten submanifolds in a space form

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