GLOBAL DIFFERENTIAL GEOMETRY OF WEINGARTEN SURFACE AND HYPERSURFACE

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.

Autorentext

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.

Klappentext

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.