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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2007, Volume 3, Number 4, Pages 399–410 (Mi jmag72)  
Generalization of the H. A. Schwarz theorem on stability of minimal surfaces

Yuriy Aminova, Joanna Witkowskab

a Institute of Mathematics of the Polish Academy of Sciences, 8 Sniadeckich, PO Box 21, 00-956, Warsaw, Poland
b Bialystok University of Finance and Management, Faculty of Engineering, 1 Grunwaldska Str., 19-300 Elk, Poland
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Abstract: We proved two theorems on stability of minimal submanifolds in a Riemannian space, which can be included in a regular family of minimal submanifolds.
Key words and phrases: Riemannian space, minimal submanifold, stability.
Received: 19.01.2007
Bibliographic databases:
Document Type: Article
MSC: 53A10, 53A07, 53C42
Language: English
Citation: Yuriy Aminov, Joanna Witkowska, “Generalization of the H. A. Schwarz theorem on stability of minimal surfaces”, Zh. Mat. Fiz. Anal. Geom., 3:4 (2007), 399–410
Citation in format AMSBIB
\Bibitem{AmiWit07}
\by Yuriy Aminov, Joanna Witkowska
\paper Generalization of the H.\,A.~Schwarz theorem on stability of minimal surfaces
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2007
\vol 3
\issue 4
\pages 399--410
\mathnet{http://mi.mathnet.ru/jmag72}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2376602}
\zmath{https://zbmath.org/?q=an:06137632}
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