FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1003-1035

**On some reducibility condition for principal bundles and its
application to projective geometry of submanifolds**

V. V. Konnov

Abstract

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In the present paper we prove some sufficient reducibility
condition for principal bundles, which is adapted to study of
submanifolds in homogeneous spaces.
We apply the above condition to find
the differential-geometrical criterion of Segre manifolds.

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Last modified: April 17, 2002