I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 2, PAGES 621-625
About connections induced on surfaces of the projective space by
the Bortolotti clothing
S. I. Sokolovskaja
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The present paper introduces the notion of
the Bortolotti connection in the principal fiber space
, the notion of
the pseudosurface, associated with subsurface, and
the Bortolotti clothing of a pseudosurface, which generates
the described connection.
The paper singles out a special case of the clothing,
namely, the Bortolotti clothing in the proper sense.
It is demonstrated that the Bortolotti clothing in
the proper sense of the pseudosurface, associated with a
subsurface , induces
the Bortolotti clothing of the subsurface itself.
The paper sets up and solves the problem of immersion of
the Bortolotti connection in an -dimensional projective
It is proved that the immersion is possible, if .
All articles are
published in Russian.
Last modified: October 31, 2001.