Open Access
January 1996 REGULAR GENERAL CONNECTIONS AND LORENTZIAN TWISTED PRODUCTS
Keiichi Kikuchi
Author Affiliations +
SUT J. Math. 32(1): 35-57 (January 1996). DOI: 10.55937/sut/1262208494

Abstract

Regular general connections of conformal type provided for space-times are investigated. Using the Hessian-type tensors of time function, certain isometric decomposition theorems of space-times can be obtained. The null geodesics concerning the general connection of conformal type are defined and a criterion for its incompleteness is researched.

Acknowledgements

The author is sincerely grateful to Prof. Tominoske Otsuki for his constant encouragement and valuable advice. And also the author would like to thank Prof. Naoto Abe and Dr. Naoyuki Koike for helpful discussions.

Citation

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Keiichi Kikuchi. "REGULAR GENERAL CONNECTIONS AND LORENTZIAN TWISTED PRODUCTS." SUT J. Math. 32 (1) 35 - 57, January 1996. https://doi.org/10.55937/sut/1262208494

Information

Received: 20 October 1995; Published: January 1996
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1262208494

Subjects:
Primary: 53B30 , 53C05

Keywords: General connection , Lorentzian twisted product , time function

Rights: Copyright © 1996 Tokyo University of Science

Vol.32 • No. 1 • January 1996
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