ON MINIMAL VOLUMES OF TOPOLOGICAL GLOBALLY MINIMAL SURFACES IN COBORDISMS

DOI10.1070/IM1982v018n01ABEH001378zbMath0484.49029OpenAlexW1975999359MaRDI QIDQ3943549

A. T. Fomenko

Publication date: 1982

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1982v018n01abeh001378

zbMATH Keywords

minimal surfacesdifferential inequalitiesgeometric measure theoryMorse functionlower volume boundsgeneralized cobordism constraint

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Other types of cobordism (57R90)

Related Items (1)

A formula for the weight of a minimal filling of a finite metric space

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