In this paper we recall the closedness properties of generalized curvature 2-forms, which are said to be Riemannian, Conformal, Projective, Concircular and Conharmonic curvature 2-forms, given in [16]. Moreover, we extend the concept of recurrent generalized curvature tensor to the associated curvature 2-forms while generalizing some known results. In particular, we introduce the recurrence of the Conformal curvature 2-form and give some interesting theorems. In the final section we focus on the closedness of the associated 2-forms for curvature-like tensors.

The closedness of some generalized curvature 2-forms on a Riemannian manifold II / C.A. Mantica, Y.J. Suh. - In: PUBLICATIONES MATHEMATICAE. - ISSN 0033-3883. - 82:1(2013), pp. 163-182. [10.5486/PMD.2013.5371]

The closedness of some generalized curvature 2-forms on a Riemannian manifold II

C.A. Mantica;
2013

Abstract

In this paper we recall the closedness properties of generalized curvature 2-forms, which are said to be Riemannian, Conformal, Projective, Concircular and Conharmonic curvature 2-forms, given in [16]. Moreover, we extend the concept of recurrent generalized curvature tensor to the associated curvature 2-forms while generalizing some known results. In particular, we introduce the recurrence of the Conformal curvature 2-form and give some interesting theorems. In the final section we focus on the closedness of the associated 2-forms for curvature-like tensors.
Conformal curvature tensor; Conformally recurrent; Conformally symmetric; Curvature like-tensors; Riemannian manifolds; Tensor valued 2-forms
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore MAT/03 - Geometria
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1019949
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