Wave equations on anti self dual (ASD) manifolds

Jean Juste Bashingwa; A. H. Kara

doi:10.1007/s12648-017-1034-y

Wave equations on anti self dual (ASD) manifolds

Jean Juste Bashingwa, A. H. Kara^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study and perform analyses of the wave equation on some manifolds with non diagonal metric g_i _j which are of neutral signatures. These include the invariance properties, variational symmetries and conservation laws. In the recent past, wave equations on the standard (space time) Lorentzian manifolds have been performed but not on the manifolds from metrics of neutral signatures.

Original language	English
Pages (from-to)	1395-1404
Number of pages	10
Journal	Indian Journal of Physics
Volume	91
Issue number	11
DOIs	https://doi.org/10.1007/s12648-017-1034-y
State	Published - 1 Nov 2017

Bibliographical note

Publisher Copyright:
© 2017, Indian Association for the Cultivation of Science.

Keywords

Manifolds
Neutral signatures
Wave equations

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/s12648-017-1034-y

Cite this

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abstract = "In this paper, we study and perform analyses of the wave equation on some manifolds with non diagonal metric gi j which are of neutral signatures. These include the invariance properties, variational symmetries and conservation laws. In the recent past, wave equations on the standard (space time) Lorentzian manifolds have been performed but not on the manifolds from metrics of neutral signatures.",

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KW - Manifolds

KW - Neutral signatures

KW - Wave equations

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M3 - Article

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Wave equations on anti self dual (ASD) manifolds

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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