Area growth and rigidity of surfaces without conjugate points

Victor Bangert Universit¨at Freiburg Patrick Emmerich Universit¨at Freiburg

Differential Geometry mathscidoc:1609.10318

Journal of Differential Geometry, 94, (3), 367-385, 2013
We prove flatness of complete Riemannian planes and cylinders without conjugate points under optimal conditions on the area growth.
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@inproceedings{victor2013area,
  title={AREA GROWTH AND RIGIDITY OF SURFACES WITHOUT CONJUGATE POINTS},
  author={Victor Bangert, and Patrick Emmerich},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914080601718356980},
  booktitle={Journal of Differential Geometry},
  volume={94},
  number={3},
  pages={367-385},
  year={2013},
}
Victor Bangert, and Patrick Emmerich. AREA GROWTH AND RIGIDITY OF SURFACES WITHOUT CONJUGATE POINTS. 2013. Vol. 94. In Journal of Differential Geometry. pp.367-385. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914080601718356980.
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