Global Differential Geometry of Weingarten Surface and Hypersurface: New Theories in E4 and Applications

In this book, the global differential geometry of Weingarten surfaces and hypersurfaces in E4 had been discussed. This leads to apply some global methods on a class of Weingarten surfaces and hyper surfaces satisfying umbilical boundary conditions. Also, the characterization of hyperspheres among the umbilical boundary conditions (U. B. C.) Weingarten hypersurfaces with some additional conditions had been discussed.