DOI QR코드

DOI QR Code

SYMMETRIES ON TRANS-SASAKIAN SPACE FORMS

  • 투고 : 2020.02.23
  • 심사 : 2020.06.09
  • 발행 : 2020.11.15

초록

In this article we have studied different types of symmetricness of trans-Sasakian space forms.

키워드

참고문헌

  1. S. Pahan and A. Bhattacharyya, Some properties of three dimensional trans-sasakian manifolds with a semi-symmetric metric connection Lobachevskii J. Math., 37 (2016), 177-184. https://doi.org/10.1134/S1995080216020128
  2. D. E. Blair, Contact Manifolds in Riemannian Geometry , Lecture Notes in Math. volume-509. Springer Verlag, 1976.
  3. R. Deszcz, On pseudo-symmetric spaces, Bull. Belg. Math. Soc. Ser. A, 44 (1992), 1-34.
  4. R. Deszcz and F. Defever, On warped product manifolds satisfying a certain curvature condition, Atti. Acad. Peloritana Cl. Sci. Fis. Mat. Natur., 69 (1991), 213-236.
  5. K. Kenmotsu, A class of almost contact riemannian manifolds, Tohoku Math. J., 24 (1972), 93-103. https://doi.org/10.2748/tmj/1178241594
  6. J. C. Marrero, The local structure of trans-sasakian manifolds, Annali di Matematica Pura ed Applicata, 162 (1992), 77-86. https://doi.org/10.1007/BF01760000
  7. L. Verstraelen, MD. Belkhelfa, and R. Deszcz, Symmetry properties of sasakian space forms, Soochow Journal of Mathematics, 31 (2005), 611-616.
  8. J .A. Oubina, New classes of almost contact metric structures, Publicationes Mathematicae Debrecen, 32 (1985), 187-193.