Isoperimetric inequalities, isometric actions and the higher Newman numbers

DOI10.1007/BF00183026zbMath0648.53032OpenAlexW2059327612MaRDI QIDQ1105209

L. N. Mann, Hsu-Tung Ku, Mei-chin Ku

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00183026

zbMATH Keywords

Lie groupsisoperimetric inequalitiesminimal submanifoldisoperimetric numberisometric actionsvolumesNewman numbers

Mathematics Subject Classification ID

Global submanifolds (53C40)

Cites Work

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• On a compact Lie group acting on a manifold
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• Newman's theorems on transformation groups
• Rigidity theorems in rank-1 symmetric spaces
• On submanifolds of submanifolds of a Riemannian manifold
• Minimal submanifolds of low cohomogeneity
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Transformation groups of spheres
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Newman's Theorem for Compact Riemannian Manifolds
• Newman's Theorem in the Riemannian Category
• The Diameter of Orbits of Compact Groups of Isometries; Newman's Theorem for Noncompact Manifolds
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES
• Compact Transformation Groups of S n with an (n - 1)-Dimensional Orbit
• ON THE COMPACT HOMOGENEOUS MINIMAL SUBMANIFOLDS

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