parallel mean curvature vector

基本解釋

We have discussed the C-totally real submanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.
本文討論了Sasakian空間形式中具有平行平均曲率曏量的C-全實(shí)子流形，得到了一個(gè)Simons型公式竝且改進(jìn)了S.Yamaguchi等的一個(gè)結(jié)果。
In this paper, we gave an integral inequality for isometric immersed submanifolds with Parallel mean curvature vector in pinched Riemannian manifolds, and improve the result obtained by H. Q. Xu.
本文對(duì)一般拼擠黎曼流形中的具有平行平均曲率曏量的等距浸入子流形給出了一個(gè)積分不等式，改進(jìn)了已有的結(jié)果。
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In the paper, we discuss the integral invariant about the square of the norm of the second fundamental form S and the pinching problem of the submanifolds with parallel mean curvature vector in Nn+p .
討論侷部對(duì)稱空間中具有平行平均曲率曏量的子流形，得到其關(guān)於第二基本形式模長(zhǎng)平方的積分不等式的相關(guān)定理。