Gor'kavyj V. Determination of submanifolds from a given Grassmann image

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002065

Thesis Registration Form

0499U002065.pdf

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

07-06-1999

Specialized Academic Board

Д 64.175.01

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

Grassmann image of submanifolds of Euclidean and spherical space. To find conditions for the existence of a submanifold whose Grassmann image coincides with a given submanifold of Grassmann manifold. The research methods are general methods of differential geometry, theory of differential equation, linear algebra. New conditions are found for a submanifold of Grassmaniann to be the Grassmann image of a regular submanifold of Euclidean or spherical space.

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