arXiv:math/0701723 Abstract

arXiv:math/0701723 [math.DG]Abstract References Reviews Resources

Degenerations of Riemannian manifolds

Published 2007-01-25, updated 2007-01-27Version 2

This is an expositiry article on collapsing theory in Riemannian geometry written for the Modern Encyclopedia of Mathematical Physics (MEMPhys). We focus on describing the geometric and topological structure of collapsed/non-collapsed regions in Riemannian manifold under various curvature assumptions. Numerous applications of collapsing theory to Riemannian geometry are NOT discussed in this survey.

Comments: references added, 11 pages

Categories: math.DG

Subjects: 53C20

Keywords: riemannian manifold, degenerations, collapsing theory, riemannian geometry written, curvature assumptions

Related articles: Most relevant | Search more

arXiv:1205.2977 [math.DG] (Published 2012-05-14)

Meromorphic open-string vertex algebras and Riemannian manifolds

Yi-Zhi Huang

arXiv:1706.00357 [math.DG] (Published 2017-06-01)

Degenerations of $\mathbf{C}^n$ and Calabi-Yau metrics

Gábor Székelyhidi

arXiv:math/0405320 [math.DG] (Published 2004-05-17, updated 2007-01-08)

Biminimal immersions

E. Loubeau, S. Montaldo

arXiv Analytics

arXiv:math/0701723 [math.DG]Abstract References Reviews Resources

Degenerations of Riemannian manifolds

Links

Toolbox

arXiv:math/0701723 [math.DG]AbstractReferencesReviewsResources

Degenerations of Riemannian manifolds

Links

Toolbox

arXiv:math/0701723 [math.DG]Abstract References Reviews Resources