Spacelike submanifolds in indefinite space form M p n + p ( c )

Yingbo Han

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 2, page 79-86
  • ISSN: 0044-8753

Abstract

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In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form M p n + p ( c ) , ( c > 0 ) . We also get some rigidity theorems for such spacelike submanifolds.

How to cite

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Han, Yingbo. "Spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$." Archivum Mathematicum 046.2 (2010): 79-86. <http://eudml.org/doc/37768>.

@article{Han2010,
abstract = {In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form $M^\{n+p\}_p(c)$, $(c>0)$. We also get some rigidity theorems for such spacelike submanifolds.},
author = {Han, Yingbo},
journal = {Archivum Mathematicum},
keywords = {spacelike submanifolds; indefinite space form; space-like submanifold; indefinite space form},
language = {eng},
number = {2},
pages = {79-86},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Spacelike submanifolds in indefinite space form $M^\{n+p\}_p(c)$},
url = {http://eudml.org/doc/37768},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Han, Yingbo
TI - Spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 2
SP - 79
EP - 86
AB - In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$, $(c>0)$. We also get some rigidity theorems for such spacelike submanifolds.
LA - eng
KW - spacelike submanifolds; indefinite space form; space-like submanifold; indefinite space form
UR - http://eudml.org/doc/37768
ER -

References

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  1. Chen, B. Y., Geometry of Submanifolds, Marcel Dekker, New York, 1973. (1973) Zbl0262.53036MR0353212
  2. Cheng, S. Y., Yau, S. T., 10.1007/BF01425237, Math. Ann. 225 (1977), 195–204. (1977) Zbl0349.53041MR0431043DOI10.1007/BF01425237
  3. Dong, Y. X., 10.1016/j.geomphys.2007.11.007, J. Geom. Phys. 58 (2008), 324–333. (2008) Zbl1147.53043MR2394041DOI10.1016/j.geomphys.2007.11.007
  4. Liu, X. M., 10.1016/S0764-4442(01)01921-8, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), 729–734. (2001) Zbl1028.53059MR1843196DOI10.1016/S0764-4442(01)01921-8
  5. Pang, H. D., Xu, S. L., Dai, Sh., 10.1016/S0393-0440(01)00075-4, J. Geom. Phys. 42 (2002), 78–84. (2002) Zbl1005.83013MR1894077DOI10.1016/S0393-0440(01)00075-4
  6. Wu, B. Y., 10.1016/j.geomphys.2004.07.003, J. Geom. Phys. 53 (2005), 336–344. (2005) MR2108534DOI10.1016/j.geomphys.2004.07.003
  7. Wu, B. Y., 10.1016/j.geomphys.2005.10.008, J. Geom. Phys. 56 (2006), 1728–1735. (2006) Zbl1097.53043MR2240419DOI10.1016/j.geomphys.2005.10.008

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