S^6上非复常Khler角曲面的结构方程

Non-complex Surface of 6-dimensional Sphere with Constant Khlerian Angle

设M2是纯八元数ImO中的单位球面S6上非复常Ka¨hler角曲面.运用Cayley三角,选取M2在ImO上的一组特殊基底,通过这个基底得到M2在ImO中的结构方程,并给出这个结构方程的一个应用.

Let M^2 be an non-complex surface of 6-dimensional sphere in pure imaginary octonions with constant K(a)¨hlerian angle. A special basis of M^2 in ImO is found by using the property of Cayley triangle,with which the structure equation of M^2 in ImO is obtained.Finally, an application of this structure equation is given.