Submanifolds of Affine Spaces
An Introduction to Affine Differential Geometry
Seiten
2020
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2725-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2725-8 (ISBN)
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Presents the theory of affine differential geometry in a modern form. In the later chapters of this text, emphasis is put on results dealing with various special classes of affine hypersurfaces, such as affine maximal hypersurfaces, affine homogenous hypersurfaces, and parallel hypersurfaces.
The work on affine differential geometry started with W. Blaschke and his coworkers around 1920. This book presents this theory in a modern form, which makes it easily accessible for non-specialists in the domain. In the later chapters, the emphasis is put on recent results dealing with various special classes of affine hypersurfaces (affine maximal hypersurfaces, affine homogeneous hypersurfaces, parallel hypersurfaces, hypersurfaces with constant sectional curvatures) and with the higher codimension theory. Each chapter is also concluded with a list of related theorems and some open problems in the domain.
The work on affine differential geometry started with W. Blaschke and his coworkers around 1920. This book presents this theory in a modern form, which makes it easily accessible for non-specialists in the domain. In the later chapters, the emphasis is put on recent results dealing with various special classes of affine hypersurfaces (affine maximal hypersurfaces, affine homogeneous hypersurfaces, parallel hypersurfaces, hypersurfaces with constant sectional curvatures) and with the higher codimension theory. Each chapter is also concluded with a list of related theorems and some open problems in the domain.
Affine immersions; hypersurfaces in equiaffine spaces; complex hypersurfaces in complex equiaffine space; affine maximal submanifolds; hypersurfaces with constant curvatures; hypersurfaces with parallel cubic forms. (Part contents.)
| Erscheint lt. Verlag | 3.1.2020 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 981-02-2725-6 / 9810227256 |
| ISBN-13 | 978-981-02-2725-8 / 9789810227258 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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