On complete spacelike hypersurfaces with R = a H + b in locally symmetric Lorentz spaces

Yingbo Han; Shuxiang Feng; Liju Yu

Archivum Mathematicum (2011)

  • Volume: 047, Issue: 2, page 151-161
  • ISSN: 0044-8753

Abstract

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In this note, we investigate n -dimensional spacelike hypersurfaces M n with R = a H + b in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.

How to cite

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Han, Yingbo, Feng, Shuxiang, and Yu, Liju. "On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces." Archivum Mathematicum 047.2 (2011): 151-161. <http://eudml.org/doc/116543>.

@article{Han2011,
abstract = {In this note, we investigate $n$-dimensional spacelike hypersurfaces $M^n$ with $R=aH+b$ in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.},
author = {Han, Yingbo, Feng, Shuxiang, Yu, Liju},
journal = {Archivum Mathematicum},
keywords = {spacelike submanifolds; locally symmetric Lorentz spaces; spacelike submanifold; locally symmetric Lorentz space},
language = {eng},
number = {2},
pages = {151-161},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces},
url = {http://eudml.org/doc/116543},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Han, Yingbo
AU - Feng, Shuxiang
AU - Yu, Liju
TI - On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 2
SP - 151
EP - 161
AB - In this note, we investigate $n$-dimensional spacelike hypersurfaces $M^n$ with $R=aH+b$ in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.
LA - eng
KW - spacelike submanifolds; locally symmetric Lorentz spaces; spacelike submanifold; locally symmetric Lorentz space
UR - http://eudml.org/doc/116543
ER -

References

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