On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space

DOI10.1007/S40863-017-0075-7zbMath1381.53107OpenAlexW2755489955WikidataQ108291310 ScholiaQ108291310MaRDI QIDQ1690154

Marco Antonio L. Velásquez, Fábio R. dos Santos, Henrique Fernandes de Lima

Publication date: 18 January 2018

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-017-0075-7

zbMATH Keywords

scalar curvaturemean curvaturetotally umbilical hypersurfacesEinstein spacetimeslocally symmetric Lorentz spacescomplete linear Weingarten spacelike hypersurfacestraceless operator

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space

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