Riemannian rigidity of the parallel postulate in total curvature-Reference-Cited by-同舟云学术

Riemannian rigidity of the parallel postulate in total curvature

Published:2019-08-09 Issue:1-2 Volume:376 Page:177-185
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Ge Jian,Guijarro Luis^ORCID,Solórzano Pedro^ORCID

Funder

MINECO

Consejo Nacional de Ciencia y Tecnología

Recruitment Program for Young Professionals

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-019-01883-8.pdf

Reference11 articles.

1. Bangert, V., Emmerich, P.: Area growth and rigidity of surfaces without conjugate points. J. Differ. Geom. 94(3), 367–385 (2013). http://projecteuclid.org/euclid.jdg/1370979332 (ISSN 0022-040X)

2. Burago, D., Ivanov S.: Riemannian tori without conjugate points are flat. Geom. Funct. Anal. 4(3), 259–269 (1994). https://doi.org/10.1007/BF01896241 (ISSN 1016-443X)

3. Burns, K., Knieper, G.: Rigidity of surfaces with no conjugate points. J. Differ. Geom. 34(3), 623–650 (1991). http://projecteuclid.org/euclid.jdg/1214447537 (ISSN 0022-040X)

4. Busemann, H.: The Geometry of Geodesics. Academic Press Inc., New York (1955)

5. Cohn-Vossen, S.: Kürzeste Wege und Totalkrümmung auf Flächen. Compositio Math. 2, 69–133 (1935). http://www.numdam.org/item?id=CM_1935__2__69_0 (ISSN 0010-437X)

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