Leybina O. Grassmann image of complex submanifolds

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U002491

Thesis Registration Form

0405U002491.pdf

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

10-06-2005

Specialized Academic Board

К64.051.11

Essay

The affine classification of points of complex submanifolds (CS) in the complex Euclidean space and the classification of points of two-dimensional and three-dimensional CS with respect to Grassmann image (GI) are obtained. The relation between Chern-Lashof absolute curvature of CS and the volume of the GI is established. The CS with maximal holomorphic curvature of a complex Grassmann manifold along the GI and the CS with totally geodezic GI are described.The conditions of unic determination of CS by the GI are obtained.

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