Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space

Mehmet Bektaş; Mahmut Ergüt

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1999)

  • Volume: 38, Issue: 1, page 17-24
  • ISSN: 0231-9721

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Bektaş, Mehmet, and Ergüt, Mahmut. "Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 38.1 (1999): 17-24. <http://eudml.org/doc/23675>.

@article{Bektaş1999,
author = {Bektaş, Mehmet, Ergüt, Mahmut},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {pseudo-umbilical submanifolds; space-like submanifolds; parallel mean curvature; pseudo-Riemannian space},
language = {eng},
number = {1},
pages = {17-24},
publisher = {Palacký University Olomouc},
title = {Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space},
url = {http://eudml.org/doc/23675},
volume = {38},
year = {1999},
}

TY - JOUR
AU - Bektaş, Mehmet
AU - Ergüt, Mahmut
TI - Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1999
PB - Palacký University Olomouc
VL - 38
IS - 1
SP - 17
EP - 24
LA - eng
KW - pseudo-umbilical submanifolds; space-like submanifolds; parallel mean curvature; pseudo-Riemannian space
UR - http://eudml.org/doc/23675
ER -

References

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  1. Aiyama R., Compact Space-like m-submanifolds in a Pseudo-Riemannian Sphere 5™+p(c), Tokyo J. Math. 18, 1 (1995), 81-90. (1995) MR1334707
  2. Chen B. Y., Some Results of Chern do Carmo-Kobayashi type and the Length of Second Fundamental Form, Indiana University Math. J. 20 (1971), 1175-1185. (1971) Zbl0219.53047MR0281124
  3. Cheng Q. M., Choi S. M., Complete Space-like Submanifolds with Parallel Mean Curvature Vector of an Indefinite Space Form, Tsukuba J. Math 17, 2 (1993), 497-512. (1993) Zbl0804.53089MR1255488
  4. Haizong L., Complete Space-like Submanifolds in de Sitter Space with Parallel Mean Curvature Vector Satisfying H'2 = 4^-^-, Annals of Global Analуsis and Geometry 15 1997, 335-345. (1997) MR1472325
  5. Huafei S., Pseudo-Umbilical Submanifolds of A Space Form Nn+*Ҷc), Tsukuba J. Math. 20, 1 (1996), 45-50. (1996) MR1406026
  6. Ishihara T., Maximal Space-like Submanifolds of a Pseudo-Rieamannian Space of constant Curvature, Michigan Math. J. 35 1988, 345-352. (1988) MR0978304

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