【摘要】 Hamilton的Ricci流方法被广泛地应用于研究流形的几何和拓朴.利用Ricci流的方法,证明了对于任意一个具有全测地边界的n维紧致流形(n≥4)满足一定的拼挤条件可以形变为具有全测地边界的空间形式.更多还原

【Abstract】 The method of Ricci flow is applied to study the metric deformation on Rimannian manifold with boundary.It is proved that any n-dimensional(n≥4)compact manifold with totally geodesic boundary which satisfies a pinching condition can be deformed to a space form with totally geodesic boundary.更多还原