Submanifolds in nearly kaehler $S^3 imes S^3$

报告题目 Submanifolds in nearly kaehler $S^3 \times S^3$

报告人Professor Luc VranckenUniversity of ValenciennesFrance


地点理科楼数学系 A304

摘要I will introduce the nearly Kaehler strucutre on $S^3 \times S^3$. With respect to this strucutre there are two natural classes of submanifolds, namely almost complex submanifolds and totally real submanifolds. Almost complex submanifolds are those for which $J$ preserves the tangent space. In $S^3 \times S^3$ almost complex submanifolds have to be two dimensional.We study in a systematic way both classes of immersions.

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