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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 1, Pages 35–84 (Mi fpm797)  
This article is cited in 19 scientific papers (total in 19 papers)

Vanishing theorems in affine, Riemannian, and Lorenz geometries

S. E. Stepanov

Vladimir State Pedagogical University
Full-text PDF (429 kB) Citations (19)
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Abstract: In this survey, we consider one aspect of the Bochner technique, the proof of vanishing theorems by using the Weitzenbock integral formulas, which allows us to extend the technique to pseudo-Riemannian manifolds and equiaffine connection manifolds.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 1, Pages 929–964
DOI: https://doi.org/10.1007/s10958-007-0024-6
Bibliographic databases:
UDC: 514.75
Language: Russian
Citation: S. E. Stepanov, “Vanishing theorems in affine, Riemannian, and Lorenz geometries”, Fundam. Prikl. Mat., 11:1 (2005), 35–84; J. Math. Sci., 141:1 (2007), 929–964
Citation in format AMSBIB
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\by S.~E.~Stepanov
\paper Vanishing theorems in affine, Riemannian, and Lorenz geometries
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 1
\pages 35--84
\mathnet{http://mi.mathnet.ru/fpm797}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2137428}
\zmath{https://zbmath.org/?q=an:1073.58025}
\elib{https://elibrary.ru/item.asp?id=9025102}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 141
\issue 1
\pages 929--964
\crossref{https://doi.org/10.1007/s10958-007-0024-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846567882}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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