On a criterion of conformal parabolicity of a Riemannian manifold

Journal Article · Tue Mar 31 00:00:00 EDT 2015 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2015V206N03ABEH004463· OSTI ID:22590459

Keselman, V M ^[1]

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1. Moscow State Industrial University, Moscow (Russian Federation)

The paper relates to the circle of problems concerning the connection between the conformal type of a Riemannian manifold and the canonical form of its isoperimetric function. Two special examples of 2-manifolds are constructed, which explain the meaning, role and importance of the conditions involved in the criterion, previously obtained by the author, which decides whether a noncompact Riemannian n-manifold is conformally parabolic. Bibliography: 8 titles.

• OSTI ID: 22590459
• Journal Information: Sbornik. Mathematics, Vol. 206, Issue 3; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MANIFOLDS
RIEMANN SPACE