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Supremum of Perelman's entropy and Kahler-Ricci flow on a Fano manifold
Kahler-Ricci flow Kahler-Ricci solitons Perelman entropy
2011/9/15
Abstract: In this paper, we extend the method in [TZhu5] to study the energy level $L(\cdot)$ of Perelman's entropy $\lambda(\cdot)$ for K\"ahler-Ricci flow on a Fano manifold. Consequently, we first ...
F-Invariant Submanifolds of Kaehlerian Product Manifold
Kaehlerian Product Manifold Mixed Geodesic Submanifold Locally Decomposable Riemannian Manifold and Constant Holomorphic Sectional Curved Manifold
2010/2/26
In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvatu...
Coisotropic Submanifolds of a Semi-Riemannian Manifold
Semi-Riemannian manifold Lightlike submanifolds Coisotropic submanifolds
2010/2/26
In this paper, we study coisotropic submanifolds of a semi-Riemannian manifold. We investigate the integrability condition of the screen distribution and give a necessary and sufficient condition on R...
On Invariant Submanifolds of Riemannian Warped Product Manifold
Riemannian Warped Product Manifold Vertical and Horizontal Distributions Pseudo-Umbilical Submanifold Curvature-Invariant Submanifold
2010/3/1
In this paper, we generalize the geometry of the invariant submanifolds of Riemannian product manifold to the geometry of the invariant submanifolds of Riemannian warped product manifold. We investiga...