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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 77, Number 1, Pages 88–96 (Mi tmf5689)  
This article is cited in 2 scientific papers (total in 2 papers)

Rescaling of the metric, invariant operators, and spontaneous compactification

D. V. Vassilevich, V. D. Lyakhovsky, N. N. Shtykov
Full-text PDF (902 kB) Citations (2)
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Abstract: A criterion for enlargement of the symmetry of a $G$-invariant metric on $G/H$ to the symmetry of a $G'$-invariant metric on $G'/H'$ is formulated and proved. The complete set of vacuum solutions of $d=11$ supergravity on $S^7$ and the spectrum of the Laplace–Beltrami operator for each of the solutions are obtained. The degeneracy of the spectrum of the invariant operators resulting from rescaling with symmetry enlargement is investigated.
Received: 24.03.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 77, Issue 1, Pages 1064–1070
DOI: https://doi.org/10.1007/BF01028681
Bibliographic databases:
Language: Russian
Citation: D. V. Vassilevich, V. D. Lyakhovsky, N. N. Shtykov, “Rescaling of the metric, invariant operators, and spontaneous compactification”, TMF, 77:1 (1988), 88–96; Theoret. and Math. Phys., 77:1 (1988), 1064–1070
Citation in format AMSBIB
\Bibitem{VasLyaSht88}
\by D.~V.~Vassilevich, V.~D.~Lyakhovsky, N.~N.~Shtykov
\paper Rescaling of the metric, invariant operators, and spontaneous compactification
\jour TMF
\yr 1988
\vol 77
\issue 1
\pages 88--96
\mathnet{http://mi.mathnet.ru/tmf5689}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=972483}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 77
\issue 1
\pages 1064--1070
\crossref{https://doi.org/10.1007/BF01028681}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988AD89600008}
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  • https://www.mathnet.ru/eng/tmf5689
  • https://www.mathnet.ru/eng/tmf/v77/i1/p88
    • This publication is cited in the following 2 articles:
    1. D.V. Vassilevich, “Heat kernel expansion: user's manual”, Physics Reports, 388:5-6 (2003), 279  crossref
    2. D. V. Vassilevich, N. N. Shtykov, “Geometry, topology, and vacuum energy”, Theoret. and Math. Phys., 90:1 (1992), 7–12  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :125
    References:64
    First page:1
     
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