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], 2012, Volume 8, Number 1, Pages 90–105 (Mi jmag527)  
This article is cited in 2 scientific papers (total in 2 papers)

On affine immersions with flat connections

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 this paper, the multidimensional affine immersions with flat connections of maximal pointwise codimension are studied. The estimates on the dimensions of kernel and the image of the shape (Weingarten) operator and the affine fundamental form are obtained. Some properties of nullity distributions on the immersed submanifold are considered and the examples of affine immersions of high codimension with flat connection are given.
Key words and phrases: affine immersion, flat connection, pointwise codimension, nullity.
Received: 10.10.2010
Bibliographic databases:
Document Type: Article
MSC: 53A15
Language: English
Citation: O. O. Shugailo, “On affine immersions with flat connections”, Zh. Mat. Fiz. Anal. Geom., 8:1 (2012), 90–105
Citation in format AMSBIB
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\by O. O. Shugailo
\paper On affine immersions with flat connections
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2012
\vol 8
\issue 1
\pages 90--105
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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