A study of different class of almost Para-Sasakian Riemannian manifold
*Amar NathCorresponding authornathamar016@gmail.comDepartment of Mathematics7th Km Roorkee-Haridwar Road Vardhaman PuramCOER University, RoorkeeRoorkee, Uttarakhand, 247667, IndiaView full profile → , Mohit Kumar GuptaDepartment of Mathematics7th Km Roorkee-Haridwar Road Vardhaman PuramCOER University, RoorkeeRoorkee, Uttarakhand, 247667, IndiaView full profile → , D. V. GuptaDepartment of Mathematics7th Km Roorkee-Haridwar Road Vardhaman PuramCOER University, RoorkeeRoorkee, Uttarakhand, 247667, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Aug 2022
- Published Online:
- 29 Dec 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1687
- Pages:
- 1825–1835
Abstract
Keywords
Subject Classifications
References
[1] On Para-Sasakian manifolds admitting a special type of semi-symmetric non-metric η-connecSato I. : On ofdeformation para contact Riemannian structures, Tensor, N.S., 37, 251-2Sato, I. And Matsumoto, K.: On P-Sasakian manifolds satisfying certain conditions, Tensor, N.S., Vol. 33(1979), 173 – 178 (1982).
[2] Adati, T. and Miyajawa T.: On para-contact Riemannian manifolds, TRU Math., 13-2, 27-39 (1977).
[3] Chuman, G.: D-conformal vector fields in para-Sasakian manifolds, Tensor, N.S., 36, 227 – 232 (1982).
[4] Mishra R.S. : Structures on differentiable manifold and their application, chandrama prakashan Allahabad (1984).
[5] H. B Pandey and Anil Kumar : Anti Invariant sub manifold of almost para contact manifolds, Indian J, pure appl. Math, 16 (16): 586 – 590, June (1985).
[6] Adati, T. and Miyajawa, T.: Some properties of P-Sasakian manifolds, TRU Math., 3, 33-42 (1977).
[7] Amar Nath,andManohar Singh Chahar : Study and Analysis of Almost Para Sasakian Type – Riemannian manifold, International Journal of Mathematics And its Applications, vol 5 Issue 4-E, ISSN- 2347-1557, p 647-654 (2017).
[8] Mishra, R. S.: Almost contact manifolds with a specified affine connection, Tensor, N.S., 23(1), 41-45 (1972).
[9] Mishra, R. S.: Affine connexions in an almost Grayan manifold, Tensor, N.S., 23, 419-433 (1972).
[10] Mishra, R. S.: Almost contact manifolds with a specified affine connection II, J. Math. Soc., 8, 68-70 (1973).
[11] Blair, D. E.: The theory of quasi-Sasakian structures, J. Differential Geometry 1, 331 – 345 (1967).
[12] Tanno, S.: Quasi-Sasakian structures of rank 2p + 1, J. Differential Geometry 5, 317 – 324 (1971).
[13] Mancho H. Manev And Veselina R. Tavkova:On Almost Para-contact Almost ParacomplexRiemannian ManifoldsFactaUniversitatis. Series: Mathematics and Informatics, vol. 33, no. 5, 637-657 (2018).
[14] Yildiz,A , Turan,M And Acet,B.E:Onpara-sasakian manifolds, DPU Fen BilimleriEnstitüsüDergisiSayi 24, 27-34 (2011).
[15] Barman,A : On Para-Sasakian manifolds admitting a special type of semi- symmetric non-metric connection,Palestine journal of Mathematics,8(2), 266-274 (2019).
[16] Lai, K. F. and Mok, K. P., On the differential geometry of the (1,1) tensor bundle, Tensor (N.S.), 63(1), 15–27 (2002).
[17] Murat,A&Aydin.G: On Affine Connections Induced on the (1, 1)-Tensor Bundle, Chinese Annals of Mathematics, Series B volume 39, pages 683–694 (2018).
[18] FlourenceGouli-Andreou and Ramesh Sharma: A class of conformally flat contact metric 3-manifold, result math, 43, 114-120 (2003).
[19] Sezin Aykurt Sepet & Mahmut Ergut. Pointwise slant submersions from almost product Riemannian manifolds, Journal of Interdisciplinary Mathematics, 23:3, 639-655 (2020), DOI: 10.1080/09720502.2019.1700935.
[20] S. K. Porwal & S. K. Mishra. Geodesic semilocal E-convex functions on Riemannian manifolds, Journal of Information and Optimization Sciences, 39:8, 1717-1733 (2018), DOI: 10.1080/02522667.2018.1424091.
