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Certain results on contact metric generalized $(\kappa,\mu)$-space forms

Venkatesha Venkatesha|Aruna Kumara Huchchappa|Devaraja Mallesha Naik
대한수학회 (The Korean Mathematical Society)|2019.10|대한수학회논문집 (Communications of the KMS)|제34권 제4호|pp. 1315-1328|DOI 10.4134/CKMS.c180446

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참고문헌

키워드

Sasakian manifoldgeneralized $(\kappa\mu)$-space forms$*$-Ricci solitongradient $*$-Ricci soliton
주제분류수학

초록

The object of the present paper is to study $\eta$-recurrent $*$-Ricci tensor, $*$-Ricci semisymmetric and globally $\varphi$-$*$-Ricci symmetric contact metric generalized $(\kappa,\mu)$-space form. Besides these, $*$-Ricci soliton and gradient $*$-Ricci soliton in contact metric generalized $(\kappa,\mu)$-space form have been studied.

Abstract

The object of the present paper is to study $\eta$-recurrent $*$-Ricci tensor, $*$-Ricci semisymmetric and globally $\varphi$-$*$-Ricci symmetric contact metric generalized $(\kappa,\mu)$-space form. Besides these, $*$-Ricci soliton and gradient $*$-Ricci soliton in contact metric generalized $(\kappa,\mu)$-space form have been studied.

참고문헌 (31)

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