∗-CONFORMAL RICCI SOLITON ON α-COSYMPLECTIC MANIFOLDS

被引：0

作者：

Majhi, Pradip ^{[1
]}

Das, Raju ^{[1
]}

Woo, Changhwa ^{[2
]}

机构：

[1] Univ Calcutta, Dept Pure Math, Kolkata, India

[2] Pukyong Natl Univ, Coll Nat Sci, Dept Biomed Engn, Busan 48513, South Korea

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2025年 / 43卷 / 01期

关键词：

alpha-cosymplectic manifold; cosymplectic mani- fold; *-Ricci tensor; *-conformal Ricci soliton; eta-Einstein manifold; Einstein manifold;

D O I：

10.14317/jami.2025.223

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider alpha-cosymplectic manifold admitting *conformal Ricci soliton. We prove that if a alpha-cosymplectic manifold admitting*conformal Ricci soliton is Ricci pseudo-symmetric then it becomes a cosymplectic manifold. We also prove that if a alpha-cosymplectic manifold admitting*conformal Ricci soliton satisfies S.C = 0 then it reduces to a cosymplectic manifold. Moreover it is proven that if a alpha-cosymplectic manifold admitting*conformal Ricci soliton satisfies R(xi, W).C = 0, then the manifold is Einstein.

引用

页码：223 / 232

页数：10

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