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| Some Soliton Structures on the Cotangent Bundle with Respect to the Modified Riemannian Extension |
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Citation： |
Aydin GEZER · Lokman BILEN.Some Soliton Structures on the Cotangent Bundle with Respect to the Modified Riemannian Extension[J].Chinese Annals of Mathematics B,2025,46(6):841~910 |
| Page view： 105
Net amount： 46 |
Authors： |
Aydin GEZER · Lokman BILEN; |
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| Abstract： |
Let (M, J, g) be an anti-K¨ahler 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 e g?,G. The modified Riemannian extension
metric ge?,G 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 e g?,G and second to study some geometric solitons on the cotangent
bundle T ?M according to the modified Riemannian extension metric ge?,G. |
Keywords： |
Cotangent bundle, Modified Riemannian extension, Soliton structure |
Classification： |
53B05, 53C07, 53C25, 53C55 |
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