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On ∗-Conformal Ricci Solitons on a Class of Almost Kenmotsu Manifolds

Dibakar Dey|Pradip Majhi
경북대학교 자연과학대학 수학과|2021.12|Kyungpook Mathematical Journal|제61권 제4호|pp. 781-790

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참고문헌

키워드

Almost Kenmotsu manifoldsConformal Ricci soliton∗-Conformal Ricci soliton
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초록

The goal of this paper is to characterize a class of almost Kenmotsu manifolds admitting ∗-conformal Ricci solitons. It is shown that if a (2n + 1)-dimensional (k, µ)-almost Kenmotsu manifold M admits ∗-conformal Ricci soliton, then the manifold M is ∗-Ricci flat and locally isometric to H n+1(−4) × Rn. The result is also verified by an example.

Abstract

The goal of this paper is to characterize a class of almost Kenmotsu manifolds admitting ∗-conformal Ricci solitons. It is shown that if a (2n + 1)-dimensional (k, µ)-almost Kenmotsu manifold M admits ∗-conformal Ricci soliton, then the manifold M is ∗-Ricci flat and locally isometric to H n+1(−4) × Rn. The result is also verified by an example.

참고문헌 (19)

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