A Study on $\phi$-Symmetric $\tau$-curvature tensor in $N(k)$-contact metric manifold | Zendy

Gurupadavva Ingalahalli | Zendy; C. S. Bagewadi | Zendy

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A Study on $\phi$-Symmetric $\tau$-curvature tensor in $N(k)$-contact metric manifold

Author(s) -

Gurupadavva Ingalahalli,

C. S. Bagewadi

Publication year - 2014

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.6.2.203-211

Subject(s) - metric tensor , metric (unit) , riemann curvature tensor , manifold (fluid mechanics) , curvature , mathematics , tensor (intrinsic definition) , mathematical physics , ricci curvature , physics , ricci decomposition , combinatorics , pure mathematics , mathematical analysis , geometry , operations management , engineering , economics , geodesic , mechanical engineering

In this paper we study $\tau$-curvature tensor in $N(k)$-contact metric manifold. We study $\tau$-$\phi$-recurrent,$\tau$-$\phi$-symmetric and globally $\tau$-$\phi$-symmetric $N(k)$-contact metric manifold.

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