On geometry of convex surfaces

A.A. Ligun (Dniprodzerzhinsk State Technical University)
S.V. Timchenko (Dniprodzerzhinsk State Technical University)
A.A. Shumeiko (Dniprodzerzhinsk State Technical University)

Abstract


We obtain one representation of convex bounded surfaces by values of supporting function. We find conditions for supporting function that provide convexity of the surface, and, also, we obtain some characteristics of such surfaces.

References


Hadamard J. Differential Geometry, 1938. (in Russian)

Ligun A.A., Shumeiko A.A. "On geometry of convex curves", Proc. Int. Conf. "Approx. Theory and Harmonic Analysis", Tula, 1988; p. 156. (in Russian)




DOI: https://doi.org/10.15421/249811

  

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Copyright (c) 1998 A.A. Ligun, S.V. Timchenko, A.A. Shumeiko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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