Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold |
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Authors: | Maria del Carmen Calvo Guillermo G. R. Keilhauer |
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Affiliation: | (1) Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
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Abstract: | To any (0, 2)-tensor field on the tangent bundle of a Riemannian manifold, we associate a global matrix function. Based on this fact, natural tensor fields are defined and characterized, essentially by means of well-known algebraic results. In the symmetric case, this classification coincides with the one given by Kowalski–Sekizawa; in the skew-symmetric one, it does with that obtained by Janyka. |
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Keywords: | connection map tangent bundle tensor field. |
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