Canonical form of a two-dimensional Riemann manifold

Yu. M. Rodnyi

M. V. Lomonosov Moscow State University

Abstract: A proof of the existence on a Riemann manifold of a system of canonical cuts such that the canonical form of the manifold will be a convex region with the minimum number of sides.

UDC: 513.78

Received: 28.08.1969

 English version: Mathematical Notes, 1971, 9:1, 38–40

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