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Some Geometric Properties of η∗-Ricci Solitons on α-Lorentzian Sasakian Manifolds

Rajendra Prasad|Shashikant Pandey|Abhishek Singh
경북대학교 자연과학대학 수학과|2022.12|Kyungpook Mathematical Journal|제62권 제4호|pp. 737-749|DOI 10.5666/KMJ.2022.62.4.737

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η∗-Ricci solitonsϕ∗-SymmetricRicci semisymmetricϕ∗-Ricci symmetricη∗ Einstein manifolds
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초록

We investigate the geometric properties of η∗-Ricci solitons on α-Lorentzian Sasakian (α-LS) manifolds, and show that a Ricci semisymmetric η∗-Ricci soliton on an α-LS manifold is an η∗-Einstein manifold. Further, we study ϕ∗-symmetric η∗-Ricci solitons on such manifolds. We prove that ϕ∗-Ricci symmetric η∗-Ricci solitons on an α-LS manifold are also η∗-Einstein manifolds and provide an example of a 3-dimensional α-LS manifold for the existence of such solitons.

Abstract

We investigate the geometric properties of η∗-Ricci solitons on α-Lorentzian Sasakian (α-LS) manifolds, and show that a Ricci semisymmetric η∗-Ricci soliton on an α-LS manifold is an η∗-Einstein manifold. Further, we study ϕ∗-symmetric η∗-Ricci solitons on such manifolds. We prove that ϕ∗-Ricci symmetric η∗-Ricci solitons on an α-LS manifold are also η∗-Einstein manifolds and provide an example of a 3-dimensional α-LS manifold for the existence of such solitons.

참고문헌 (30)

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관련 논문AI추천

∗-RICCI SOLITONS AND ∗-GRADIENT RICCI SOLITONS ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDSDibakar Dey, Pradip Majhi대한수학회 · 대한수학회논문집2020 · 제35권 제2호SOME RESULTS ON 𝜂-RICCI SOLITONS IN QUASI-SASAKIAN 3-MANIFOLDSAbdul Haseeb, Rajendra Prasad, Shashikant Pandey대한수학회 · 대한수학회논문집2021 · 제36권 제2호On ∗-Conformal Ricci Solitons on a Class of Almost Kenmotsu ManifoldsDibakar Dey, Pradip Majhi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONSAshis Mondal강원경기수학회 · 한국수학논문집2021 · 제29권 제4호η-Ricci Solitons in δ-Lorentzian Trans Sasakian Manifolds with a Semi-symmetric Metric ConnectionMOHD. DANISH SIDDIQI경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호Curvature Properties of η-Ricci Solitons on Para-Kenmotsu ManifoldsAbhishek Singh, Shyam Kishor경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호

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