The first eigenvalue of spacelike submanifolds in indefinite space form
Archivum Mathematicum (2011)
- Volume: 047, Issue: 2, page 77-82
- ISSN: 0044-8753
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topHan, Yingbo, and Feng, Shuxiang. "The first eigenvalue of spacelike submanifolds in indefinite space form $R^{n+p}_p$." Archivum Mathematicum 047.2 (2011): 77-82. <http://eudml.org/doc/116535>.
@article{Han2011,
abstract = {In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in $R^\{n+p\}_p$ with the bounded Gauss map must be zero.},
author = {Han, Yingbo, Feng, Shuxiang},
journal = {Archivum Mathematicum},
keywords = {spacelike submanifolds; the first eigenvalue; spacelike submanifold; the first eigenvalue},
language = {eng},
number = {2},
pages = {77-82},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The first eigenvalue of spacelike submanifolds in indefinite space form $R^\{n+p\}_p$},
url = {http://eudml.org/doc/116535},
volume = {047},
year = {2011},
}
TY - JOUR
AU - Han, Yingbo
AU - Feng, Shuxiang
TI - The first eigenvalue of spacelike submanifolds in indefinite space form $R^{n+p}_p$
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 2
SP - 77
EP - 82
AB - In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in $R^{n+p}_p$ with the bounded Gauss map must be zero.
LA - eng
KW - spacelike submanifolds; the first eigenvalue; spacelike submanifold; the first eigenvalue
UR - http://eudml.org/doc/116535
ER -
References
top- Cheng, S. Y., Yau, S. T., 10.1002/cpa.3160280303, Comm. Pure Appl. Math. 28 (1975), 333–354. (1975) MR0385749DOI10.1002/cpa.3160280303
- Kobayashi, S., Nomizu, K., Foundations of differential geometry, John Wiley & Sons, Inc., 1969. (1969) Zbl0175.48504
- Wong, Y. C., 10.1090/S0002-9904-1969-12198-1, Bull. Amer. Math. Soc. (N.S.) 75 (1969), 409–414. (1969) MR0251655DOI10.1090/S0002-9904-1969-12198-1
- Wu, B. Y., 10.1016/j.geomphys.2004.07.003, J. Geom. Phys. 53 (2005), 336–344. (2005) Zbl1078.53063MR2108534DOI10.1016/j.geomphys.2004.07.003
- Wu, B. Y., On the first eigenvalue of spacelike hypersurfaces in Lorentzian space, Arch. Math. (Brno) 42 (2006), 233–238. (2006) Zbl1164.53373MR2260381
- Xin, Y. L., 10.1007/s002290070020, Manuscripta Math. 103 (2000), 191–202. (2000) MR1796315DOI10.1007/s002290070020
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