Some Soliton Structures on the Cotangent Bundle with Respect to the Modified Riemannian Extension

Let (M, J, g) be an anti-Kahler manifold of dimension n = 2k with an almost complex structure J and a pseudo-Riemannian metric g and let T*M be its cotangent bundle with modified Riemannian extension metric g(del,G)(similar to). The modified Riemannian extension metric g(del,G)(similar to) is obtained by deformation in the horizontal part of the Riemannian extension known in the literature by means of the twin Norden metric G. The paper aims first to examine the curvature properties of the cotangent bundle T*M with modified Riemannian extension metric g(del,G)(similar to) and second to study some geometric solitons on the cotangent bundle T*M according to the modified Riemannian extension metric g(del,G)(similar to).

Journal

CHINESE ANNALS OF MATHEMATICS SERIES B

Year

2025

Volume

46

Issue

6

Pages

841-858

ISSN

0252-9599

eISSN

1860-6261

DOI

10.1007/s11401-025-0061-9

WoS UID

WOS:001632495600008

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