On a generalized class of recurrent manifolds

Absos Ali Shaikh; Ananta Patra

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 1, page 71-78
  • ISSN: 0044-8753

Abstract

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The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.

How to cite

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Shaikh, Absos Ali, and Patra, Ananta. "On a generalized class of recurrent manifolds." Archivum Mathematicum 046.1 (2010): 71-78. <http://eudml.org/doc/37654>.

@article{Shaikh2010,
abstract = {The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.},
author = {Shaikh, Absos Ali, Patra, Ananta},
journal = {Archivum Mathematicum},
keywords = {recurrent; generalized recurrent; conharmonically recurrent; hyper-generalized recurrent; generalized conharmonically recurrent; generalized Ricci recurrent manifold; recurrent; generalized recurrent; conharmonically recurrent; hyper-generalized recurrent; generalized conharmonically recurrent; generalized Ricci recurrent manifold},
language = {eng},
number = {1},
pages = {71-78},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a generalized class of recurrent manifolds},
url = {http://eudml.org/doc/37654},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Shaikh, Absos Ali
AU - Patra, Ananta
TI - On a generalized class of recurrent manifolds
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 1
SP - 71
EP - 78
AB - The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.
LA - eng
KW - recurrent; generalized recurrent; conharmonically recurrent; hyper-generalized recurrent; generalized conharmonically recurrent; generalized Ricci recurrent manifold; recurrent; generalized recurrent; conharmonically recurrent; hyper-generalized recurrent; generalized conharmonically recurrent; generalized Ricci recurrent manifold
UR - http://eudml.org/doc/37654
ER -

References

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  8. Patterson, E. M., 10.1112/jlms/s1-27.3.287, J. London. Math. Soc. 27 (1952), 287–295. (1952) Zbl0048.15604MR0048891DOI10.1112/jlms/s1-27.3.287
  9. Shaikh, A. A., Jana, S. K., 10.4064/ap89-3-4, Ann. Polon. Math. 89 (3) (2006), 273–288. (2006) Zbl1169.53027MR2262554DOI10.4064/ap89-3-4
  10. Tamássy, L., Binh, T. Q., On weakly symmetric and weakly projective symmetric Riemannian manifolds, Colloq. Math. Soc. János Bolyai 56 (1989), 663–670. (1989) MR1211691
  11. Tamássy, L., Binh, T. Q., On weak symmetries of Einstein and Sasakian manifolds, Tensor (N.S.) 53 (1993), 140–148. (1993) MR1455411
  12. Walkar, A. G., On Ruse’s spaces of recurrent curvature, Proc. London Math. Soc. 52 (1950), 36–64. (1950) MR0037574
  13. Yano, K., Concircular geometry I, Proc. Imp. Acad. Tokyo 16 (1940), 195–200. (1940) MR0003113

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