Description
In this book, the global differential geometry ofWeingarten surfaces and hypersurfaces in E4 had beendiscussed. 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 additionalconditions had been discussed. Dr. Rania Bahgat amer Lecturer at the Physics & Mathematics Department faculty of engineering, Zagazig University. B.Sc. in (Civil engineering), M.Sc and Ph.D in differential geometry from Faculty of engineering, Zagazig University, Egypt.




