3 citations · 4 across the 7 of their papers we have counts for
4 papers · 2 filters
Surfaces of bounded mean curvature in Riemannian manifolds
Siddartha Gadgil, Harish Seshadri
Consider a sequence of closed, orientable surfaces of fixed genus in a Riemannian manifold with uniform upper bounds on mean curvature and area. We show that on passing to…
On the topology of manifolds with positive isotropic curvature
Siddartha Gadgil, Harish Seshadri
We show that a closed orientable Riemannian -manifold, , with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of…
An elementary approach to some rigidity theorems
Harish Seshadri
Using elementary comparison geometry, we prove: Let be a simply-connected complete Riemannian manifold of dimension . Suppose that the sectional curvature satisf…
Complex product manifolds cannot be negatively curved
Harish Seshadri, Fangyang Zheng
We show that if is the product of two complex manifolds (of positive dimensions), then does not admit any complete Kähler metric with bisectional curvature bou…