SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS

Title & Authors
SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
CHEN, BANG-YEN;

Abstract
A vector field on a Riemannian manifold (M, g) is called concircular if it satisfies ${\nabla}X^v Keywords concircular vector field;Ricci soliton;submanifolds;Einstein manifold;concircular potential field;concurrent vector field;concircular curvature tensor; Language English Cited by 1. Some Results About Concircular and Concurrent Vector Fields On Pseudo-Kaehler Manifolds, Journal of Physics: Conference Series, 2016, 766, 012034 2. Pseudo-Z symmetric space-times with divergence-free Weyl tensor and pp-waves, International Journal of Geometric Methods in Modern Physics, 2016, 13, 02, 1650015 3. Rigidity of (m,ρ)-quasi Einstein manifolds, Mathematische Nachrichten, 2017 References 1. A. Besse, Einstein Manifolds, Springer-Verlag, Berlin, 1987. 2. B.-Y. Chen, Geometry of Submanifolds, Marcel Dekker, New York, 1973. 3. B.-Y. Chen, Pseudo-Riemannian Geometry,${\delta}\$-invariants and Applications, World Scientific, Hackensack, NJ, 2011.

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