Area growth and rigidity of surfaces without conjugate points

Victor Bangert; Patrick Emmerich

doi:10.4310/jdg/1370979332

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July 2013 Area growth and rigidity of surfaces without conjugate points

Victor Bangert, Patrick Emmerich

J. Differential Geom. 94(3): 367-385 (July 2013). DOI: 10.4310/jdg/1370979332

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Abstract

We prove flatness of complete Riemannian planes and cylinders without conjugate points under optimal conditions on the area growth.

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Victor Bangert. Patrick Emmerich. "Area growth and rigidity of surfaces without conjugate points." J. Differential Geom. 94 (3) 367 - 385, July 2013. https://doi.org/10.4310/jdg/1370979332

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Published: July 2013

First available in Project Euclid: 11 June 2013

zbMATH: 1278.53038

MathSciNet: MR3080486

Digital Object Identifier: 10.4310/jdg/1370979332

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19 PAGES

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J. Differential Geom.

Vol.94 • No. 3 • July 2013

Lehigh University

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Victor Bangert, Patrick Emmerich "Area growth and rigidity of surfaces without conjugate points," Journal of Differential Geometry, J. Differential Geom. 94(3), 367-385, (July 2013)

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