Four-Dimensional Semi-Riemannian Szabó Manifolds
Joint Authors
Diallo, Abdoul Salam
Gupta, Punam
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-31
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this paper, we prove that the deformed Riemannian extension of any affine Szabó manifold is a Szabó pseudo-Riemannian metric and vice versa.
We prove that the Ricci tensor of an affine surface is skew-symmetric and nonzero everywhere if and only if the affine surface is Szabó.
We also find the necessary and sufficient condition for the affine Szabó surface to be recurrent.
We prove that, for an affine Szabó recurrent surface, the recurrence covector of a recurrence tensor is not locally a gradient.
American Psychological Association (APA)
Diallo, Abdoul Salam& Gupta, Punam. 2020. Four-Dimensional Semi-Riemannian Szabó Manifolds. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1188124
Modern Language Association (MLA)
Diallo, Abdoul Salam& Gupta, Punam. Four-Dimensional Semi-Riemannian Szabó Manifolds. Journal of Mathematics No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1188124
American Medical Association (AMA)
Diallo, Abdoul Salam& Gupta, Punam. Four-Dimensional Semi-Riemannian Szabó Manifolds. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1188124
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188124