Abstract
The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.
Highlights
The semisymmetric connection was introduced in [8]
Warped product is a generalization of Riemannian product introduced in [4]
Its existence and non-existence are very much significant. Such existence and non-existence are studied in case of CR-submanifolds of Sasakian manifolds
Summary
The semisymmetric connection was introduced in [8]. If such connection is metric compatible it is called semisymmetric metric connection otherwise semisymmetric non-metric connection. The concept of CR-submanifold was introduced in [3]. Its existence and non-existence are very much significant Such existence and non-existence are studied in case of CR-submanifolds of Sasakian manifolds. £V denotes the Lie derivative operator along V ∈ χ(M ) and λ ∈ R [9]. Nature of such soliton depends on λ. (i) Ricci Tensor by “RT”, (ii) Warped product by “WP”, (iii) Semisymmetric metric connection by “SM”, (iv) Semisymmetric non-metric connection by “SNM”, (v) Levi-Civita connection by “LC”, (vi) Almost contact manifold “AC”
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