Differential Geometric Structures

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Release : 2015-04-27
Genre : Mathematics
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Book Rating : 913/5 ( reviews)

Differential Geometric Structures - 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 Geometric Structures write by Walter A. Poor. This book was released on 2015-04-27. Differential Geometric Structures available in PDF, EPUB and Kindle. This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.

Modern Geometric Structures and Fields

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Release : 2006
Genre : Mathematics
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Book Rating : 292/5 ( reviews)

Modern Geometric Structures and Fields - 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 Modern Geometric Structures and Fields write by Сергей Петрович Новиков. This book was released on 2006. Modern Geometric Structures and Fields available in PDF, EPUB and Kindle. Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.

Geometric Structures in Nonlinear Physics

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Release : 1991
Genre : Mathematics
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Book Rating : 422/5 ( reviews)

Geometric Structures in Nonlinear Physics - 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 Geometric Structures in Nonlinear Physics write by Robert Hermann. This book was released on 1991. Geometric Structures in Nonlinear Physics available in PDF, EPUB and Kindle. VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.

Transformation Groups in Differential Geometry

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 819/5 ( reviews)

Transformation Groups in Differential 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 Transformation Groups in Differential Geometry write by Shoshichi Kobayashi. This book was released on 2012-12-06. Transformation Groups in Differential Geometry available in PDF, EPUB and Kindle. Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.

Differential Geometric Structures and Applications

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Differential Geometric Structures and Applications - 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 Geometric Structures and Applications write by Vladimir Rovenski. This book was released on . Differential Geometric Structures and Applications available in PDF, EPUB and Kindle.