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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1969 Volume 6, Issue 5, Pages 513–520 (Mi mzm6958)
Some formulas arising in conformal mapping of a Riemann space onto a Euclidean space and corollaries following from them

V. T. Fomenko

Rostov State University

Abstract: Formulas are derived for transforming the total and mean curvature of a surface $R_2$ in a Riemann space $R_3$ under conformal mapping of $R_3$ onto a Euclidean space.

UDC: 613.78

Received: 03.12.1968


 English version: Mathematical Notes, 1969, 6:5, 763–767

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© Steklov Math. Inst. of RAS, 2025