Projective Differential Geometry of Submanifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Projective Differential Geometry of Submanifolds write by M.A. Akivis. This book was released on 1993-06-30. Projective Differential Geometry of Submanifolds available in PDF, EPUB and Kindle. In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations. Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.
Symposium on the Differential Geometry of Submanifolds
Symposium on the Differential Geometry of Submanifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symposium on the Differential Geometry of Submanifolds write by Luc Vrancken. This book was released on 2008-06-30. Symposium on the Differential Geometry of Submanifolds available in PDF, EPUB and Kindle. This book contains the proceedings of the «Symposium on differential geometry» which took place at the Université de Valenciennes et du Hainaut Cambrésis from July 3, 2007 until July 7, 2007.The main theme of the conference was the differential geometry of submanifolds. Special emphasis was put on the following topics:Lagrangian immersions, Minimal immersions and constant mean curvature immersions, Harmonic maps and harmonic morphisms, Variational problems, Affine differential geometry. This conference follows the tradition of the conferences in the series of « Geometry and Topology of Submanifolds », which started with the Luminy meeting in 1987 and then continued with various meetings at different places in Europe, such as amongst others Avignon, Leeds, Leuven, Brussels, Nordfjordeid, Berlin, Warszawa, Bedlewo and also in China (Beijing, 1998).
Geometry of Submanifolds
Geometry of Submanifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Submanifolds write by Bang-Yen Chen. This book was released on 2019-06-12. Geometry of Submanifolds available in PDF, EPUB and Kindle. The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.
Differential Geometry of Varieties with Degenerate Gauss Maps
Differential Geometry of Varieties with Degenerate Gauss Maps - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry of Varieties with Degenerate Gauss Maps write by Maks A. Akivis. This book was released on 2006-04-18. Differential Geometry of Varieties with Degenerate Gauss Maps available in PDF, EPUB and Kindle. This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.
Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday
Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday write by Sadahiro Maeda. This book was released on 2013-10-23. Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday available in PDF, EPUB and Kindle. This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in the theory of real hypersurfaces in a non-flat complex space form.
