Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 2, Pages 227–238 (Mi jmag558)  
This article is cited in 1 scientific paper (total in 1 paper)

Affine Submanifolds of Rank Two

O. O. Shugailo

Department of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61077, Ukraine
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Abstract: In the paper we study the complete connected affine submanifolds $f:M^n \rightarrow {\mathbb{R}}^{n+m}$ of rank two, i.e., the strongly ($n-2)$-parabolic submanifolds according to A. Borisenko. The structures of these submanifolds are described and the explicit parametrization is given for two partial cases.
Key words and phrases: affine immersion, ruled submanifold.
Received: 24.02.2011
Revised: 21.01.2013
Bibliographic databases:
Document Type: Article
MSC: 53A15
Language: English
Citation: O. O. Shugailo, “Affine Submanifolds of Rank Two”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013), 227–238
Citation in format AMSBIB
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\by O.~O.~Shugailo
\paper Affine Submanifolds of Rank Two
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2013
\vol 9
\issue 2
\pages 227--238
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3113462}
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