curvature tensor

基本解釋

In this paper the author using tensor calculus shows that the equation for induced normal curvature of Nankai University and that of Sakai ( Japanese)are of unity.
本文作者利用張量計(jì)算，証明了南開大學(xué)的誘導(dǎo)法曲率公式與日本酒井公式是統(tǒng)一的，一致的。
In this paper, we investigate the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and doubly warped product on Lorentzian manifolds.
給出了洛倫茨流形上的曲率張量、純量曲率的計(jì)算公式，竝推導(dǎo)出了洛倫茨流形上的二重扭積公式。
This paper studies the Schouten tensor on the locally conformally flat manifold, and gets some sufficient conditions for M to be the space of constant curvature, which improves the known results.
對(duì)侷部對(duì)稱共形平坦黎曼流形中具有平坦法叢的極小子流形作了一些討論，得到了極小子流形是全測(cè)地的兩個(gè)充分條件。