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Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature
Geometric analysis aspects infinite semiplanar graphs nonnegative curvature Metric Geometry
2011/9/6
Abstract: In the present paper, we apply Alexandrov geometry methods to study geometric analysis aspects of infinite semiplanar graphs with nonnegative combinatorial curvature in the sense of Higuchi....
Topological obstructions to nonnegative curvature
Topological obstructions nonnegative curvature
2010/11/1
We find new obstructions to the existence of complete Riemannian metric of nonnegative sectional curvature on manifolds with infinite fundamental groups. In particular, we construct many examples of v...