摘要
The authors study the regular submanifolds in the conformal space Q_p^n and introduce the submanifold theory in the conformal space Q_p^n.The first variation formula of the Willmore volume functional of pseudo-Riemannian submanifolds in the conformal spaceQ_p^n is given.Finally,the conformal isotropic submanifolds in the conformal space Q_p^n are classified.
The authors study the regular submanifolds in the conformal space Qp^n
and introduce the submanifold theory in the conformal space Qp^n
. The first variation formula of the Willmore volume functional of pseudo-Riemannian submanifolds in the conformal space Qp^n
is given. Finally, the conformal isotropic submanifolds in the conformal space
基金
Project supported by the National Natural Science Foundation of China(No.10971055)
the Natural Science Foundation of the Educational Commission of Hubei province(Key Program)(No.D1120111007)
关键词
迷向子流形
空间理论
共形
黎曼
Conformal space, Conformal invariants, Willmore submanifolds,Conformal isotropic
