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.File | Dimensione | Formato | |
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