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COMPLETE SPACELIKE SUBMANIFOLDS IN DE SITTER SPACES WITH $R= aH+ b$
Part of
- Global differential geometry
JIANCHENG LIU, JINGJING ZHANG
Journal:

Bulletin of the Australian Mathematical Society / Volume 87 / Issue 3 / June 2013

Published online by Cambridge University Press:

13 February 2013, pp. 386-399

Print publication:

June 2013
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In this paper, we give a classification of spacelike submanifolds with parallel normalised mean curvature vector field and linear relation $R= aH+ b$ of the normalised scalar curvature $R$ and the mean curvature $H$ in the de Sitter space ${ S}_{p}^{n+ p} (c)$.