Existence of infinitely many minimal hypersurfaces in positive Ricci curvature-Reference-Cited by-同舟云学术

Existence of infinitely many minimal hypersurfaces in positive Ricci curvature

Published:2017-01-25 Issue:2 Volume:209 Page:577-616
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Marques Fernando C.,Neves André

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s00222-017-0716-6/fulltext.html

Reference44 articles.

1. Aiex, N.S.: The Width of Ellipsoids. arXiv:1601.01032 [math.DG]

2. Almgren, F.: The homotopy groups of the integral cycle groups. Topology 1, 257–299 (1962)

3. Almgren, F.: The theory of varifolds. Mimeographed notes, Princeton (1965)

4. Ballmann, W.: Der Satz von Lusternik und Schnirelmann, (German) Beiträge zur Differentialgeometrie, Heft 1, pp. 1–25. Bonner Math. Schriften, 102, Univ. Bonn, Bonn (1978)

5. Bangert, V.: On the existence of closed geodesics on two-spheres. Int. J. Math. 4, 1–10 (1993)

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