Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection

Vishnuvardhana S.V. Venkatesha

Communications in Mathematics (2015)

  • Volume: 23, Issue: 2, page 163-169
  • ISSN: 1804-1388

Abstract

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In the present paper we have obtained the necessary condition for the existence of almost pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifold admitting a type of quarter symmetric metric connection.

How to cite

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Venkatesha, Vishnuvardhana S.V.. "Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection." Communications in Mathematics 23.2 (2015): 163-169. <http://eudml.org/doc/276128>.

@article{Venkatesha2015,
abstract = {In the present paper we have obtained the necessary condition for the existence of almost pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifold admitting a type of quarter symmetric metric connection.},
author = {Venkatesha, Vishnuvardhana S.V.},
journal = {Communications in Mathematics},
keywords = {Almost pseudo symmetric manifold; pseudo Ricci symmetric manifold; almost pseudo Ricci symmetric manifold; quarter-symmetric metric connection; almost pseudo symmetric manifold; pseudo Ricci symmetric manifold; almost pseudo Ricci symmetric manifold; quarter-symmetric metric connection},
language = {eng},
number = {2},
pages = {163-169},
publisher = {University of Ostrava},
title = {Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection},
url = {http://eudml.org/doc/276128},
volume = {23},
year = {2015},
}

TY - JOUR
AU - Venkatesha, Vishnuvardhana S.V.
TI - Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection
JO - Communications in Mathematics
PY - 2015
PB - University of Ostrava
VL - 23
IS - 2
SP - 163
EP - 169
AB - In the present paper we have obtained the necessary condition for the existence of almost pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifold admitting a type of quarter symmetric metric connection.
LA - eng
KW - Almost pseudo symmetric manifold; pseudo Ricci symmetric manifold; almost pseudo Ricci symmetric manifold; quarter-symmetric metric connection; almost pseudo symmetric manifold; pseudo Ricci symmetric manifold; almost pseudo Ricci symmetric manifold; quarter-symmetric metric connection
UR - http://eudml.org/doc/276128
ER -

References

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  1. Blair, D.E., Contact manifolds in Riemannian geometry, 1976, Springer-Verlag, Berlin, Lecture Notes in Mathematics, 509. (1976) Zbl0319.53026MR0467588
  2. Cartan, E., 10.24033/bsmf.1105, Soc. Math., France, 54, 1926, 214-264, (1926) MR1504900DOI10.24033/bsmf.1105
  3. Chaki, M.C., On pseudo symmetric manifolds, Analele Stiint, Univ.Al-I. Cuza, 33, 1987, 53-58, (1987) Zbl0634.53012MR0925690
  4. Chaki, M.C., On pseudo Ricci symmetric manifolds, Bulg. J. Phys., 15, 1988, 526-531, (1988) Zbl0689.53011MR1028590
  5. Chaki, M.C., Kawaguchi, T., On almost pseudo Ricci symmetric manifolds, Tensor N. S., 68, 2007, 10-14, (2007) Zbl1193.53099MR2363663
  6. De, A., 10.1007/s10474-009-9002-4, Acta Math. Hungar., 125, 2009, 183-190, (2009) Zbl1224.53055MR2564429DOI10.1007/s10474-009-9002-4
  7. De, U.C., De, A., 10.1007/s10587-012-0063-0, Czechoslovak Mathematical Journal, 62, 2012, 1055-1072, (2012) Zbl1274.53049MR3010256DOI10.1007/s10587-012-0063-0
  8. De, U.C., Gazi, A.K., On almost pseudo symmetric manifolds, Ann. Univ. Sci. Budap., 51, 2008, 53-68, (2008) Zbl1224.53056MR2567494
  9. De, U.C., Gazi, A.K., On almost pseudo conformally symmetric manifolds, Demonstratio Mathematica, 4, 2009, 861-878, (2009) Zbl1184.53034MR2588986
  10. De, U.C., Mallick, S., On almost pseudo concircularly symmetric manifolds, The Journal of Mathematics and Computer Science, 4, 3, 2012, 317-330, (2012) MR2588986
  11. De, U.C., Pal, P., On Almost Pseudo-Z-symmetric Manifolds, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 53, 1, 2014, 25-43, (2014) Zbl1312.53065MR3331069
  12. De, U.C., Sengupta, J., Quarter-symmetric metric connection on a Sasakian manifold, Commun. Fac. Sci. Univ. Ank. Series A1., 49, 2000, 7-13, (2000) Zbl1025.53013MR1841733
  13. Hui, S.K., Zengin, F.O., On almost pseudo concircular Ricci symmetric manifolds, Boletin de la Asociacion Matematica Venezolana, 1, 2012, 57-69, (2012) Zbl1370.53017MR3284682
  14. Olszak, K., Olszak, Z., 10.1007/s10474-012-0216-5, Acta Mathematica Hungar., 137, 1-2, 2012, 64-71, (2012) Zbl1299.53110MR2966979DOI10.1007/s10474-012-0216-5
  15. Sasaki, S., Lecture notes on almost contact manifolds, part 1, 1975, Tohoku University, (1975) 
  16. Shaikh, A.A., Hui, S.K., Bagewadi, C.S., On Quasi-Conformally Flat Almost Pseudo Ricci Symmetric Manifolds, Tamsui Oxford Journal of Mathematical Sciences, 26, 2, 2010, 203-219, (2010) Zbl1225.53016MR2742249
  17. Szabo, Z.I., 10.4310/jdg/1214437486, Journal of Differential Geometry, 17, 1982, 531-582, (1982) Zbl0508.53025MR0683165DOI10.4310/jdg/1214437486
  18. Tamassy, L., Binh, T.Q., On weakly symmetric and weakly projectively symmetric riemannian manifolds, Colloquia Mathematica Societatis Janos Bolyai, 56, 1989, 663-670, (1989) MR1211691
  19. Tamassy, L., Binh, T.Q., On weak symmetries of Einstein and Sasakian manifolds, Tensor, 53, 1993, 140-148, International Conference on Differential Geometry and its Applications (Bucharest, 1992). (1993) Zbl0849.53038MR1455411
  20. Walker, A.G., On ruse's space of recurrent curvature, Proceedings of the London Mathematical Society, 52, 1951, 36-64, (1951) 
  21. Yilmaz, H.B., On Decomposable Almost Pseudo Conharmonically Symmetric Manifolds, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 51, 1, 2012, 111-124, (2012) Zbl1273.53010MR3060013

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