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Submanifolds with constant scalar curvature

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002
In this paper, we study n-dimensional complete submanifolds with constant scalar curvature in the Euclidean space En+p and n-dimensional compact submanifolds with constant scalar curvature in the unit sphere Sn+p(1). We prove that the totally umbilical sphere Sn(r), totally geodesic Euclidean space En and generalized cylinder Sn−1(c) × E1 are the only ...
openaire   +3 more sources

Deformations of scalar curvature

Geometriae Dedicata, 1976
openaire   +2 more sources

Scalar curvature

Graduate Studies in Mathematics, 2019
MA M.I.T Cambridge
semanticscholar   +1 more source

Positive scalar curvature

, 2018
P. Gilkey
semanticscholar   +1 more source