Yuriy Aminov, Joanna Witkowska, “Generalization of the H. A. Schwarz theorem on stability of minimal surfaces”, Журн. матем. физ., анал., геом., 2007, том 3, номер 4,страницы 399

Generalization of the H. A. Schwarz theorem on stability of minimal surfaces

Yuriy Aminov^a, Joanna Witkowska^b

^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

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

Ключевые слова и фразы: Riemannian space, minimal submanifold, stability.

MSC: 53A10, 53A07, 53C42

Поступила в редакцию: 19.01.2007

Язык публикации: английский