报告题目：Fourdimensional CR submanifolds of the sphere S^6(1) with two dimensional nullity distribution

报告人：Miroslava Anti\'c教授

时间：2017年5月4日（星期四）上午10:00-11:00

地点：数学与统计学院教学楼303室

报告内容摘要：It is well known that on the sphere S^6(1) there exists an almost complex structure J constructed using Cayley algebra which is moreover nearly Kaehler. A submanifold M of S^6(1) is called a CR submanifold if there exists an almost complex distribution U : x → Ux ⊂ TxM, i.e. JU ⊂ U on M, such that its orthogonal complement V in TM is totally real distribution, i.e. JV ⊥ ⊂ T^⊥M, where T^⊥M is the normal bundle over M in S^6(1). Since the four dimensional CR submanifolds of S^6(1) can not be totally geodesic, we investigate such submanifolds that admit the nullity distribution of the maximal possible dimension which is two and classify them using sphere curves and vector fields along those curves.

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