ON 3-DIMENSIONAL QUASI-PARA-SASAKIAN MANIFOLDS AND RICCI SOLITONS
- Title
- ON 3-DIMENSIONAL QUASI-PARA-SASAKIAN MANIFOLDS AND RICCI SOLITONS
- Creator
- Prakasha D.G.; Veeresha P.; Venkatesha V.; Kumara H.A.
- Description
- The purpose of this paper is to study 3-dimensional quasi-para-Sasakian manifolds and Ricci solitons. First, we prove that a 3-dimensional non-paracosymplectic quasi-para-Sasakian manifold is an ?-Einstein manifold if and only if the structure function ? is constant. Further, it is shown that a Ricci soliton on a 3-dimensional quasi-para-Sasakian manifold with ?=constant is expanding. Moreover, we show that if a 3-dimensional quasi-para-Sasakian manifold admits a Ricci soliton, then the flow vector field V is Killing, and the quasi-para-Sasakian structure can be obtained by a homothetic deformation of a para-Sasakian structure. Besides, we study gradient Ricci solitons and prove that if a 3-dimensional non-paracosymplectic quasi-para-Sasakian manifold with ?=constant admits a gradient Ricci soliton, then the manifold is an Einstein one. Also, a suitable example of a 3-dimensional quasi-para-Sasakian manifold is constructed to verify our results. 2022 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved.
- Source
- Transactions of A. Razmadze Mathematical Institute, Vol-176, No. 2, pp. 245-254.
- Date
- 2022-01-01
- Publisher
- A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University
- Subject
- 3-dimensional quasi-para-Sasakian manifold; Einstein manifold; Gradient Ricci soliton; Ricci soliton
- Coverage
- Prakasha D.G., Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577 007, India; Veeresha P., Department of Mathematics, Christ (Deemed to be University), Bengaluru, 560 029, India; Venkatesha V., Department of Mathematics, Kuvempu University, Shivamogga, 577 451, India; Kumara H.A., Department of Mathematics, Kuvempu University, Shivamogga, 577 451, India, BMS Institute of Technology and Management Yelahanka, Bangalore, 560064, India
- Rights
- Restricted Access
- Relation
- ISSN: 23468092
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Prakasha D.G.; Veeresha P.; Venkatesha V.; Kumara H.A., “ON 3-DIMENSIONAL QUASI-PARA-SASAKIAN MANIFOLDS AND RICCI SOLITONS,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/14990.