RIEMANN SOLITONS ON (κ, μ)-ALMOST COSYMPLECTIC MANIFOLDS

被引：1

作者：

Gowda, Prakasha D. ^{[1
]}

Naik, Devaraja M. ^{[2
]}

Ravindranatha, Amruthalakshmi M. ^{[1
]}

Venkatesha, Venkatesha ^{[3
]}

机构：

[1] Davangere Univ, Dept Studies Math, Davangere 577007, India

[2] CHRIST, Dept Math, Ctr Math Needs, Bengaluru 560029, Karnataka, India

[3] Kuvempu Univ, Dept Math, Shankaraghatta 577451, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 03期

关键词：

Riemann soliton; almost cosymplectic manifold;

D O I：

10.4134/CKMS.c220243

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study almost cosymplectic manifolds with nullity distributions admitting Riemann solitons and gradient almost Riemann solitons. First, we consider Riemann soliton on (kappa, mu)-almost cosymplectic manifold M with kappa < 0 and we show that the soliton is expanding with lambda = kappa/2n-1 (4n - 1) and M is locally isometric to the Lie group G(rho). Finally, we prove the non-existence of gradient almost Riemann soliton on a (kappa, mu)-almost cosymplectic manifold of dimension greater than 3 with kappa < 0.

引用

页码：881 / 892

页数：12

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