超緊空間 的英文怎麼說
中文拼音 [chāojǐnkōngjiān]
超緊空間
英文
supercompact space- 超 : Ⅰ動詞1 (越過; 高出) exceed; surpass; overtake 2 (在某個范圍以外; 不受限制) transcend; go beyo...
- 緊 : Ⅰ形容詞1 (物體受到幾方面的拉力或壓力以後呈現的緊張狀態) taut; tight 2 (物體受外力作用變得固定...
- 空 : 空Ⅰ形容詞(不包含什麼; 裏面沒有東西或沒有內容; 不切實際的) empty; hollow; void Ⅱ名詞1 (天空) s...
- 間 : 間Ⅰ名詞1 (中間) between; among 2 (一定的空間或時間里) with a definite time or space 3 (一間...
- 空間 : space; enclosure; room; blank; interspace
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Compact perturbations of hyperinvariant subspace
超不變子空間的緊攝動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 the first chapter, we study a sufficent condition for a operator is compact on bergman space of the unit ball
本文在第一章中就復超球上bergman空間上的運算元為緊的充分條件進行了研究,在附加了一定的條件,給出了運算元為緊的充分條件。
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