totally geodesic 中文意思是什麼
totally geodesic
解釋
全測地的-
In the second part, we investigate the compact submanifolds m with the parallel isoperimetric section in the real space forms rm ( c ) and prove that if there exists a parallel isoperimetric section on m, and the sectional curvature of m is always greater than zero, then m is contained in a hyper - sphere ; and get that the gauss curvature of the compact surfaces m with constant mean curvature in constant curvature space r4 ( c ) is always greater than zero, then m is a totally geodesic surface or a sphere, where an isoperimetric on m means a unit normal vector field defined globally on m with m1 ( ) = constant
（ 2 ）研究了實空間形式r ~ m （ c ）中具有平行等參截面的緊致子流形m ，證明了具有一平行等參截面的子流形m ，如果m的截面曲率恆正，則m包含在r ~ m （ c ）的一個超球面內；對于常曲率空間及r ~ 4 （ c ）中具有常平均曲率的緊致曲面m ，如果m的高斯曲率處處大於零，則m或為r ~ m （ c ）中的全測地曲面或為一球面。這里m上的等參截面是m上整體定義的單位法向量場，使得m關於它的平均曲率m _ 1 （ ）是常數。 -
In this paper, the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal riemannian symmetric spaces by computing the fundamental group
摘要通過計算全測地子流形的基本群，確定了緊正規黎曼對稱空間的極大的極大秩全測地子流形的整體分類。
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