Generalization of the H.A. Schwarz Theorem on Stability of Minimal Surfaces

  • Yuriy Aminov Institute of Mathematics of the Polish Academy of Sciences, 8 Sniadeckich, PO Box 21, 00-956, Warsaw, Poland
    B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
  • Joanna Witkowska Bialystok University of Finance and Management, Faculty of Engineering, 1 Grunwaldska Str., 19-300 Elk, Poland

Анотація

We proved two theorems on stability of minimal submanifolds in a Riemannian space, which can be included in a regular family of minimal submanifolds.

Mathematics Subject Classification: 53A10, 53A07, 53C42.

Ключові слова:

Riemannian space, minimal submanifold, stability.

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Як цитувати

(1)
Y. Aminov, J. Witkowska, Generalization of the H.A. Schwarz Theorem on Stability of Minimal Surfaces, Журн. мат. фіз. анал. геом. 3 (2007), 399-410.

Номер

Том 3 № 4 (2007)

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