space of constant curvature space 中文意思是什麼

space of constant curvature space 解釋
常曲率空間
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  • of : OF ＝Old French 古法語。
  • constant : adj 1 恆定不變的，固定的，穩定的，恆久的；繼續不斷的。2 不屈不撓的，堅韌的。3 忠實的，有節操的。n...
  • curvature : n. 1. 彎曲（部分）。2. 【數學】曲率，曲度。
  1. For geodesic triangle in 2 - dimensional constant curvature space, the author improves some geometric inequalities on its interior angle by theory of majorization

    摘要對於二維常高斯曲率空間上的測地三角形，研究了其內角的優超關系，並運用優超理論得到了若干新的關于其三內角的幾何不等式。
  2. How the universe evolves is affected by three factors, namely the mean density of mass - energy, the space - time curvature and a mysterious factor, the cosmological constant

    宇宙尺度的變化受三個因素影響：宇宙中質量-能量的平均密度宇宙的時空曲率與及一個神秘因素宇宙常數。
  3. The future of the universe is mainly determined by the mean density of mass - energy and the space - time curvature, while cosmological constant does not carry any weight among popular cosmological theories

    現在流行的宇宙論都不考慮宇宙常數，宇宙的未來完全由質量能量的平均密度及宇宙的時空曲率來決定。
  4. This paper contains three chapters. we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p. in particular, a sufficient condition for mn with constant scalar curvature to be totally umbilical is given

    討論desitter空間s _ p ~ （ n + p ）中具有平行的單位平均曲率向量的緊致類空子流形m ~ n的第二基本形式長度拼擠問題，給出了具有常數量曲率的這種子流形是全臍球面的一個充分條件。
  5. In chapter one, we investigate the influence of the boundary on the shape of the space - like hypersurface with constant mean curvature or constant scalar curvature in the lorentz - minkowski space ln + 1

    第一章對于lorentz - minkowski空間中的常平均曲率或常純量曲率的類空超曲面，探討了邊界對超曲面形狀的影響。
  6. 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。
分享友人
分享到 Line

分享到臉書