Del i serien Springer Monographs in Mathematics

Geometry of Hypersurfaces

Inbunden, Engelska, 2015

AvThomas E. Cecil,Patrick J. Ryan

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This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms.

Produktinformation

Utgivningsdatum2015-11-03
Mått155 x 235 x 39 mm
Vikt1 070 g
FormatInbunden
SpråkEngelska
SerieSpringer Monographs in Mathematics
Antal sidor596
FörlagSpringer-Verlag New York Inc.
ISBN9781493932450

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Thomas E. Cecil is professor of mathematics at the College of Holy Cross in Worcester, MA, USA. His primary research interests are in differential geometry, in particular, submanifolds.Patrick J. Ryan is Emeritus professor of mathematical sciences at McMaster University in Hamilton, Ontario, Canada. His primary research interests are in Geometry, in particular, the characterization and classification of hypersurfaces in real and complex space forms.

"This 600-page book is the result of the authors' efforts to provide a detailed presentation of the present day differential geometry of hypersurfaces in real, complex, and quaternionic space forms. ... A summary of the frequently used notations and an index of notions are included. The book is an essential contribution to the progress of the theory of hypersurfaces." (Radu Miron, zbMATH 1331.53001, 2016)