RIEMANN SOLITONS ON (?,?)-ALMOST COSYMPLECTIC MANIFOLDS

Title

RIEMANN SOLITONS ON (?,?)-ALMOST COSYMPLECTIC MANIFOLDS

Creator

Gowda P.D.; Naik D.M.; Ravindranatha A.M.; Venkatesha V.

Description

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 (?,?)-almost cosymplectic manifold M with ? < 0 and we show that the soliton is expanding with (Formula Presented) and M is locally isometric to the Lie group G?. Finally, we prove the non-existence of gradient almost Riemann soliton on a (?,?)-almost cosymplectic manifold of dimension greater than 3 with ? < 0. 2023 Korean Mathematical Society

Source

Communications of the Korean Mathematical Society, Vol-38, No. 3, pp. 881-892.

Date

2023-01-01

Publisher

Korean Mathematical Society

Subject

almost cosymplectic manifold; Riemann soliton

Coverage

Gowda P.D., Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, 577 007, India; Naik D.M., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560 029, India; Ravindranatha A.M., Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, 577 007, India; Venkatesha V., Department of Mathematics, Kuvempu University, Shimoga District,Jnana Sahyadri, Shankaraghatta, 577 451, India

Rights

Restricted Access

Relation

ISSN: 12251763

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.4134/CKMS.c220243

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