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

共 50 条

[1] Almost Schouten solitons and almost cosymplectic manifolds
Sardar, Arpan
De, Uday Chand
JOURNAL OF GEOMETRY, 2023, 114 (02)
[2] Almost Schouten solitons and almost cosymplectic manifolds
Arpan Sardar
Uday Chand De
Journal of Geometry, 2023, 114
[3] Riemann solitons and almost Riemann solitons on almost Kenmotsu manifolds
Venkatesha, V.
Kumara, H. Aruna
Naik, Devaraja Mallesha
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (07)
[4] Four classes of Riemann solitons on α-cosymplectic manifolds
Bakshi, Manoj Ray
Baishya, Kanak Kanti
AFRIKA MATEMATIKA, 2021, 32 (3-4) : 577 - 588
[5] Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds
Manev, Mancho
SYMMETRY-BASEL, 2023, 15 (01):
[6] Almost quasi-Yamabe solitons on almost cosymplectic manifolds
Chen, Xiaomin
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (05)
[7] Ricci solitons in almost f-cosymplectic manifolds
Chen, Xiaomin
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2018, 25 (02) : 305 - 319
[8] Almost Riemann Solitons and Gradient Almost Riemann Solitons on LP-Sasakian Manifolds
De, Krishnendu
FILOMAT, 2021, 35 (11) : 3759 - 3766
[9] Ricci Solitons on Homogeneous Almost α-Cosymplectic Three-Manifolds
Li, Jin
Liu, Ximin
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
[10] Non-existence of *-Ricci solitons on (κ, μ)-almost cosymplectic manifolds
Dai, Xinxin
JOURNAL OF GEOMETRY, 2019, 110 (02)

← 1 2 3 4 5 →