Yuriy Aminov, Joanna Witkowska, “Generalization of the H. A. Schwarz theorem on stability of minimal surfaces”, Zh. Mat. Fiz. Anal. Geom., 2007, Volume 3, Number 4,Pages <nobr>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

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.

MSC: 53A10, 53A07, 53C42

Received: 19.01.2007

Language: English