Totally real submanifolds in a quaternion space form

Mehmet Bektaş

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 2, page 341-346
  • ISSN: 0011-4642

Abstract

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In this paper, we prove a theorem for n -dimensional totally real minimal submanifold immersed in quaternion space form.

How to cite

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Bektaş, Mehmet. "Totally real submanifolds in a quaternion space form." Czechoslovak Mathematical Journal 54.2 (2004): 341-346. <http://eudml.org/doc/30864>.

@article{Bektaş2004,
abstract = {In this paper, we prove a theorem for $n$-dimensional totally real minimal submanifold immersed in quaternion space form.},
author = {Bektaş, Mehmet},
journal = {Czechoslovak Mathematical Journal},
keywords = {totally real submanifold; quaternion space form; totally real submanifold; quaternion space form},
language = {eng},
number = {2},
pages = {341-346},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Totally real submanifolds in a quaternion space form},
url = {http://eudml.org/doc/30864},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Bektaş, Mehmet
TI - Totally real submanifolds in a quaternion space form
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 341
EP - 346
AB - In this paper, we prove a theorem for $n$-dimensional totally real minimal submanifold immersed in quaternion space form.
LA - eng
KW - totally real submanifold; quaternion space form; totally real submanifold; quaternion space form
UR - http://eudml.org/doc/30864
ER -

References

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  1. Compact space-like submanifolds with parallel mean curvature vector of a Pseudo-Riemannian space, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 38 (1999), 17–24. (1999) MR1767186
  2. 10.1090/S0002-9947-1974-0346708-7, Trans. Amer. Math. Soc. 193 (1974), 257–266. (1974) MR0346708DOI10.1090/S0002-9947-1974-0346708-7
  3. 10.1007/BF02411943, Ann. Math. Pura Appl. 120 (1979), 185–199. (1979) MR0551066DOI10.1007/BF02411943
  4. Totally real minimal submanifolds in a quaternion projective space, Chinese Ann. Math. Ser.B 14 (1993), 297–306. (1993) Zbl0811.53061MR1264303
  5. Minimal submanifolds of a sphere with second fundamental form of constant length, functional analysis and related fields, Proc. Conf. for M. Stone, Univ. Chicago, 1968. Vol III, Springer-Verlag, New York, 1970, pp. 59–75. (1970) MR0273546
  6. 10.1017/S0017089500032390, Glasgow Math. J. 40 (1998), 109–115. (1998) Zbl0907.53038MR1612102DOI10.1017/S0017089500032390
  7. 10.1155/S0161171299222053, Internat. J. Math. Math. Sci. 22 (1999), 205–208. (1999) Zbl0916.53027MR1684368DOI10.1155/S0161171299222053
  8. Totally real submanifolds in H P m ( 1 ) with isotropic second fundamental form, Saitama Math. J. 16 (1998), 23–29. (1998) MR1702177
  9. 10.3792/pjaa.72.238, Proc. Japan. Acad. Ser. A-Math. Sci. 72 (1996), 238–239. (1996) Zbl0877.53043MR1435727DOI10.3792/pjaa.72.238

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