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The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a
3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller
space due to Fock and Goncha...
A Simple Manifold-Based Construction of Surfaces of Arbitrary Smoothness
Geometric modeling manifolds
2015/7/14
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
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 ...
The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes
Isoperimetric Profile Noncompact Riemannian Manifold for Small Volumes
2010/11/29
Let M be an n-dimensional Riemannian manifold. We deal, mainly, with the problem of finding a relatively compact domain D ⊂⊂ M that minimizes Area(∂D) among domains of the same volum...
The Geometric Construction of WZW Effective Action in
Noncommutative Manifold
noncommutative space WZW effective action close cochain
consistent anomaly
2007/8/15
2002Vol.37No.3pp.349-352DOI:
The Geometric Construction of WZW Effective Action in
Noncommutative Manifold
HOU Bo-Yu, WANG Yong-Qiang, YANG Zhan-Ying and YUE Rui-Hong
In...
Some Curvature Tensors on a Trans-Sasakian Manifold
Trans-Sasakian projectively flat concircularly flat
2010/2/26
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
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...