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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