Riemannian cylinders without conjugate points and with subquadratic area growth are flat

Details Riemannian cylinders without conjugate points and with subquadratic area growth are flat Riemannian cylinders without conjugate points and with subquadratic area growth are flat

2012-01-13

arxiv.org/abs/1201.2883v1

Mathematics

Differential Geometry

12 pages

Scientific paper

We prove that a complete Riemannian metric without conjugate points on the
two-dimensional cylinder is flat if it has subquadratic area growth.

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