ON TENSORS AND THE VOLUME ELEMENT OF LORENTZIAN MANIFOLD

  • Serpil Karagoz Bolu Abant Izzet Baysal University
DOI: https://doi.org/10.53555/m.v10i1.6158
Keywords: cross product, Lorentz Manifold, tensors, volume element

Abstract

In this work, we give the relationship between the alterne tensor determinant which is the volume element of  Lorentzian manifold and the symmetric tensor inner product on it.

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References

[1]. E.Bertschinger, Introduction to Tensor Calculus for General Relativity, Massachusetts Institute of Technology Department of Physics (1999).
[2]. M. Spivak, Calculus on Manifolds, Addison-Wesley Publishing Company (1965).
[3]. Juan A. Aledo, Jose M.Espinar, Jose A. Galvez, Timelike Surfaces in the Lorentz-Minkowski Space With Prescribed Gaussian Curvature and Gauss Map, Journal of Geometry and Physics. 56 (2006) 1357-1369.
Published
2024-11-04
How to Cite
Karagoz, S. (2024). ON TENSORS AND THE VOLUME ELEMENT OF LORENTZIAN MANIFOLD. IJRDO -JOURNAL OF MATHEMATICS, 10(1), 12-16. https://doi.org/10.53555/m.v10i1.6158
Issue
Vol. 10 No. 1 (2024): IJRDO - Journal Of Mathematics (ISSN: 2455-9210)
Section
Articles

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