Differential Geometry of Submanifolds

by Thomas E. Cecil (Author), Patrick J. Ryan (Author)
Presents thorough treatment of hypersurfaces in real, complex, and quaternionic space forms with connections to symmetric spaces, homogeneous spaces, and Riemannian geometry
Treats Dupin hypersurfaces using both standard and Lie sphere geometric techniques
Discusses the comprehensive treatment of the theory of isoparametric hypersurfaces due to Cartan and Münzner that are necessary for understanding the subject

This introduction to the conformal differential geometry of surfaces and submanifolds covers those aspects of the geometry of surfaces that only refer to an angle measurement, but not to a length measurement.