
GLOBAL DIFFERENTIAL GEOMETRY OF WEINGARTEN SURFACE AND HYPERSURFACE
New Theories in E4 and applications
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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.
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.