Geometry of Submanifolds

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Release : 2019-06-12
Genre : Mathematics
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Book Rating : 783/5 ( reviews)

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.

Geometry of CR-Submanifolds

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Release : 1986-07-31
Genre : Mathematics
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Book Rating : 945/5 ( reviews)

Geometry of CR-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 CR-Submanifolds write by Aurel Bejancu. This book was released on 1986-07-31. Geometry of CR-Submanifolds available in PDF, EPUB and Kindle. Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can us;; Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

The Geometry of Submanifolds

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Release : 2001-01-11
Genre : Mathematics
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Book Rating : 879/5 ( reviews)

The 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 The Geometry of Submanifolds write by Yu. Aminov. This book was released on 2001-01-11. The Geometry of Submanifolds available in PDF, EPUB and Kindle. This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces. The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects. Discussions include submanifolds in Euclidean states and Riemannian space, minimal submanifolds, Grassman mappings, multi-dimensional regular polyhedra, and isometric immersions of Lobachevski space into Euclidean spaces. This volume also highlights the contributions made by great geometers to the geometry of submanifolds and its areas of application.

Critical Point Theory and Submanifold Geometry

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Release : 2006-11-14
Genre : Mathematics
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Book Rating : 960/5 ( reviews)

Critical Point Theory and Submanifold Geometry - 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 Critical Point Theory and Submanifold Geometry write by Richard S. Palais. This book was released on 2006-11-14. Critical Point Theory and Submanifold Geometry available in PDF, EPUB and Kindle.

Riemannian Geometry of Contact and Symplectic Manifolds

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Release : 2013-11-11
Genre : Mathematics
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Book Rating : 045/5 ( reviews)

Riemannian Geometry of Contact and Symplectic Manifolds - 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 Riemannian Geometry of Contact and Symplectic Manifolds write by David E. Blair. This book was released on 2013-11-11. Riemannian Geometry of Contact and Symplectic Manifolds available in PDF, EPUB and Kindle. Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).