2 papers
math.DG2008
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…
math.DG2008
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…