Diagonal lift in the tensor bundle and its applications.

DOI10.1016/S0096-3003(02)00305-3zbMath1034.53016MaRDI QIDQ1399741

Nejmi Cengiz, Arif A. Salimov

Publication date: 30 July 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Killing vector fieldstensor bundlediagonal lift

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items (16)

Geodesics on tangent bundles with horizontal Sasaki gradient metric ⋮ Geodesics of Sasakian metrics on tensor bundles ⋮ Notes About a Harmonicity on the Tangent Bundle with Vertical Rescaled Metric ⋮ Unnamed Item ⋮ On generalized Cheeger-Gromoll metric and harmonicity ⋮ Unnamed Item ⋮ Geometry of Mus-Sasaki metric ⋮ Harmonic vector fields on gradient Sasaki metric ⋮ Cheeger-Gromoll type metrics on the \((1,1)\)-tensor bundles ⋮ Geometry of the cotangent bundle with Sasakian metrics and its applications ⋮ Some properties of Sasakian metrics in cotangent bundles ⋮ On the geometry of the \((1,1)\)-tensor bundle with Sasaki type metric ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Derivatives of Sasakian metric ^{S}g on Cotangent Bundle ⋮ Twisted Sasakian metric on the tangent bundle and harmonicity

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Almost complex structures on tensor bundles
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
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