Tensor fields of type \((0,2)\) on the tangent bundle of a Riemannian manifold (Q1128197)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Tensor fields of type \((0,2)\) on the tangent bundle of a Riemannian manifold |
scientific article; zbMATH DE number 1187531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor fields of type \((0,2)\) on the tangent bundle of a Riemannian manifold |
scientific article; zbMATH DE number 1187531 |
Statements
Tensor fields of type \((0,2)\) on the tangent bundle of a Riemannian manifold (English)
0 references
10 August 1998
0 references
The authors associate a global matrix function to every \((0,2)\)-tensor field on the tangent bundle TM of a Riemannian manifold \(M\). This enables them to characterize, in an original way, the natural \((0,2)\)-tensor fields on \(M\) constructed by \textit{O. Kowalski} and \textit{M. Sekizawa} [Bull. Tokyo Gakugei Univ., Sect. IV, Ser. Math. Nat. Sci. 40, 1-29 (1988; Zbl 0656.53021)] and \textit{J. Janyška} [Suppl. Rend. Circ. Mat. Palermo, II. Ser. 32, 165-174 (1994; Zbl 0818.53020)].
0 references
connection
0 references
\((0,2)\)-tensor field
0 references
tangent bundle
0 references
Riemannian manifold
0 references
