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A study of critical point equation and *-critical point equation on Sasakian manifolds.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Mar2023, Vol. 20 Issue 4, p1-11. 11p. - Publication Year :
- 2023
-
Abstract
- In this paper, we initiate the study of critical point equation and *-critical point equation within the substructure of Sasakian manifolds. We prove that if a compact Sasakian manifold admits CPE, then either the manifold is Einstein or the potential function is harmonic in an open subset. Later, we demonstrate that if the manifold satisfies *-CPE, it is η -Einstein and obtain an expression for the *-Ricci tensor. Finally, we construct an example to illustrate the existence of CPE and *-CPE on the Sasakian manifold. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SASAKIAN manifolds
*EINSTEIN manifolds
*EQUATIONS
*HARMONIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 20
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162295980
- Full Text :
- https://doi.org/10.1142/S0219887823500706