We shall show that a Riemanian manifold whose sectional curvature is strictly between 1 and 1/4 is diffeomorphic to the standard sphere. The proof uses the Ricci flow without surgery and a nice work o...
We shall show that a Riemanian manifold whose sectional curvature is strictly between 1 and 1/4 is diffeomorphic to the standard sphere. The proof uses the Ricci flow without surgery and a nice work o...
Spin geometry arises from the attempt to define a first-order differential operator whose square is equal to the Laplace operator. In Euclidean space this problem can be solved after moving from scala...
Spin geometry arises from the attempt to define a first-order differential operator whose square is equal to the Laplace operator. In Euclidean space this problem can be solved after moving from scala...
I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
Spin geometry arises from the attempt to define a first-order differential operator whose square is equal to the Laplace operator. In Euclidean space this problem can be solved after moving from scala...
I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
The aim of this talk is to show the connections between Liouville type equations and the conformal geometry of Riemann surfaces. In particular, we will focus on an isoperimetric inequality, the socall...
