Tight and Taut Submanifolds

Erscheinungsjahr 2009
ISBN: 978-0-521-62047-5
Verlag: Cambridge University Press

Buch, Englisch, Band 32, 367 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 716 g

Reihe: Mathematical Sciences Research Institute Publications

This book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.

Autoren/Hrsg.

Cecil, Thomas E.

Chern, Shiing-Shen

Levy, Silvio

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Topologie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

1. Remembering Nicolaas Kuiper; 2. Roever lectures in geometry; 3. Smooth and polyhedral tight immersions; 4. Tightness for smooth and polyhedral immersions of the real projective plane with one handle; 5. Taut and Dupin submanifolds; 6. Taut immersions into complete Riemannian manifolds; 7. Real hypersurfaces in complex space forms.