Collapsing Riemannian manifolds to the circle

DOI10.1007/BF01215261zbMath0661.53029OpenAlexW371214913WikidataQ115393862 ScholiaQ115393862MaRDI QIDQ1113103

Xiao-Wei Peng

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174092

zbMATH Keywords

Riemannian manifoldcovering spacesolv-manifoldcollapse to a circle

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Collapsing, solvmanifolds and infrahomogeneous spaces

Cites Work

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• Discrete subgroups of solvable Lie groups. I
• Collapsing Riemannian manifolds to ones of lower dimensions
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• Almost flat manifolds

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