RICCI-YAMABE SOLITONS ON SUBMANIFOLDS OF SOME INDEFINITE ALMOST CONTACT MANIFOLDS

G. S. Shivaprasanna, P. G. Angadi, G. Somashekhara, and P. S. K. Reddy

  DOI:  https://doi.org/10.37418/amsj.9.11.114

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In this paper, we study Ricci-Yamabe soliton on invariant and anti-invariant submanifolds of indefinite Sasakian manifolds, indefinite Kenmotsu manifolds and indefinite trans-Sasakian manifolds concerning Riemannian connection and quarter symmetric metric connection.

Keywords: Ricci-Yamabe soliton, Einstein manifold, $\eta$- Einstein manifold, invariant submanifold, anti-invariant submanifold, quarter symmetric metric connection, indefinite Sasakian manifold, indefinite Kenmotsu manifold, indefinite trans-Sasakian manifold.