主讲：Valenciennes University，Moruz Marilena博士
专家简介：Moruz Marilena，博士研究生，毕业于比利时天主教鲁汶大学（Katholieke Universiteit Leuven），主要研究仿射微分几何、子流形几何。报告摘要：Warped products are the most natural and the most fruitful generalization of Cartesian products. A warped product is a manifold equipped with a warpedproduct metric of the form: where the warped geometry decomposes into a product of the y geometry and the x geometry, except that the second part is warped, i.e., it is rescaled by a scalar function of the other coordinatesy. We investigate warped product submanifolds of the form,where and consider two problems, according to the ambient spaces. Firstly, we consider warped product hypersurfaces in,where has constant sectional curvature. We show that either M has constant sectional curvature or it is a rotational hypersurface. Secondly, we investigate warped product (minimal) Lagrangian submanifolds in the Nearly Kaehler 6-sphere. We prove that either has constant sectional curvature or it is given by the immersion described in the work of B.-Y. Chen, F. Dillen, L. Verstraelen and L. Vrancken..