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

Title Submanifolds in nearly kaehler $S^3 \times S^3$

SpeakerProfessor Luc VranckenUniversity of ValenciennesFrance

Time10:30-11:30 am, May 6, 2015

PlaceConference Room A304, Department of Mathematical Sciences

AbstractI 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.

ContactHaizhong Li