In this article, we construct some spacelike austere submanifolds in pseduoEuclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere subma...In this article, we construct some spacelike austere submanifolds in pseduoEuclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere submanifolds in pseduo-Euclidean spaces.展开更多
We derive intrinsic formulation for elastic line deformed on a pseudo-hypersurface by an external field in the pseudo-Euclidean spaces E_v^n.This formulation determines elastic line deformed on a pseudo-hypersurface.
By "an elementary configuration" we mean a set of a finite number of points,oriented byperplanes and oriented hyperspheres.In this paper,a complete solution of the following problems is given.Does there exis...By "an elementary configuration" we mean a set of a finite number of points,oriented byperplanes and oriented hyperspheres.In this paper,a complete solution of the following problems is given.Does there exist in Euclidean space a certain elementary configuration with a prescribed metric for cach pair of its elements? If so.how can one find the coordinate representations of the elements of such a configuration?展开更多
基金Supported by NSFC (10971029)NSFC-NSF(1081112053)supported by NSFC-Tian Yuan Fund (11026062)
文摘In this article, we construct some spacelike austere submanifolds in pseduoEuclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere submanifolds in pseduo-Euclidean spaces.
文摘We derive intrinsic formulation for elastic line deformed on a pseudo-hypersurface by an external field in the pseudo-Euclidean spaces E_v^n.This formulation determines elastic line deformed on a pseudo-hypersurface.
基金Project supported by the National Natural Science Foundation of China
文摘By "an elementary configuration" we mean a set of a finite number of points,oriented byperplanes and oriented hyperspheres.In this paper,a complete solution of the following problems is given.Does there exist in Euclidean space a certain elementary configuration with a prescribed metric for cach pair of its elements? If so.how can one find the coordinate representations of the elements of such a configuration?
