Eftekharinasab K. Gaussian curvature and Frechet manifold

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U005030

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

21-06-2011

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

In the thesis Sard's theorem has been generalized to the case of Frechet manifolds for the so-called MC^k-maps. And also we resolve the Kazdan-Warner problem for 2-manifolds with boundary.it was proved that the fundamental group of the space of harmonic polynomials with the same Gaussian curvature is not trivial.

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