Collapsing, solvmanifolds and infrahomogeneous spaces

DOI10.1016/S0926-2245(96)00054-XzbMath0885.53043OpenAlexW1999025269WikidataQ115337577 ScholiaQ115337577MaRDI QIDQ1366597

Wilderich Tuschmann

Publication date: 15 September 1997

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00054-x

zbMATH Keywords

collapsingsolvmanifoldsSeifert fibrationsalmost flat manifoldsinfrahomogeneous spaceslocally homogeneous metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) Global Riemannian geometry, including pinching (53C20) Fiberings with singularities in algebraic topology (55R55)

Related Items (2)

Isometry groups with radical, and aspherical Riemannian manifolds with large symmetry. I ⋮ On the equivalence of several definitions of compact infra-solvmanifolds

Cites Work

• Geometric construction of holonomy coverings for almost flat manifolds
• Collapsing Riemannian manifolds to ones with lower dimension. II
• Properly discontinuous actions of subgroups in amenable algebraic groups and its application to affine motions
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• The surgery L-groups of poly-(finite or cyclic) groups
• Collapsing Riemannian manifolds to the circle
• On fundamental groups of complete affinely flat manifolds
• On affine crystallographic groups
• Seifertsche Faserräume
• [https://portal.mardi4nfdi.de/wiki/Publication:3670195 Topological Characterization of Flat and Almost Flat Riemannian Manifolds M n (n � 3, 4)]
• On a compactification of the set of Riemannian manifolds with bounded curvatures and diameters
• On a Conjecture of C. T. C. Wall
• The Geometries of 3-Manifolds
• Almost flat manifolds
• Almost flat manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Collapsing, solvmanifolds and infrahomogeneous spaces