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Subspace foliations and collapse of closed flat manifolds

Full text
Author(s):
Bettiol, Renato G. ; Derdzinski, Andrzej ; Mossa, Roberto ; Piccione, Paolo
Total Authors: 4
Document type: Journal article
Source: Mathematische Nachrichten; v. 295, n. 12, p. 19-pg., 2022-10-31.
Abstract

We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov-Hausdorff limits. Our main results explicitly identify such collapsed limits as flat orbifolds, and provide algebraic and geometric criteria to determine whether they are singular. (AU)

FAPESP's process: 19/19891-9 - Minimal spheres in ellipsoids
Grantee:Paolo Piccione
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 19/16286-7 - Topics on curved and flat manifolds
Grantee:Paolo Piccione
Support Opportunities: Regular Research Grants
FAPESP's process: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis
Grantee:Paolo Piccione
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/08971-9 - Diastatic entropy and rigidity of hyperbolic manifolds
Grantee:Roberto Mossa
Support Opportunities: Research Grants - Young Investigators Grants