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.
Minimal Submanifolds and Related Topics
Minimal Submanifolds and Related Topics - 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 Minimal Submanifolds and Related Topics write by Y. L. Xin. This book was released on 2003. Minimal Submanifolds and Related Topics available in PDF, EPUB and Kindle. The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and author's own contributions to Bernstein type theorems for higher codimensions. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.
Projective Differential Geometry of Submanifolds
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.
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 Submanifolds and Its Related Topics
Differential Geometry of Submanifolds and Its Related Topics - 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 write by Sadahiro Maeda. This book was released on 2014. Differential Geometry of Submanifolds and Its Related Topics 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.
