Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle - Applied Mathematics

AM > Vol.6 No.8, July 2015

Applied Mathematics

Volume 6, Issue 8 (July 2015)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle ()

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DOI: 10.4236/am.2015.68127 7,088 Downloads 7,812 Views Citations

Author(s)

M. M. Wageeda¹, E. M. Solouma²

Affiliation(s)

¹Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt.
²Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.

ABSTRACT

In this paper we consider the homothetic motion of Lorentzian circle by studying the scalar curvature for the corresponding cyclic surface locally. We prove that if the scalar curvature

is constant, then

. We describe the equations that govern such surfaces.

KEYWORDS

Minkowski Space, Cyclic Surfaces, Homothetic Motion, Scalar Curvature

Share and Cite:

Wageeda, M. and Solouma, E. (2015) Local Study of Scalar Curvature of Cyclic Surfaces Obtained by Homothetic Motion of Lorentzian Circle. Applied Mathematics, 6, 1344-1352. doi: 10.4236/am.2015.68127.

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