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The Theory Of Lie Derivatives And Its Applications

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Book Details

  • Author: Kentaro Yano

  • Brand: Dover

  • Binding: Paperback

  • Number of Pages: 299

  • Release Date: 13-05-2020

  • Languages: English

  • ISBN: 9780486842097


About the Book

Differential Geometry has become a dynamic field in modern mathematics, yet some classic texts continue to captivate the interest of contemporary mathematicians and students. Kentaro Yano’s advanced treatment of differential geometry, first published in 1957, stands as one of these influential works. Hailed for its clarity by The American Mathematical Monthly, the book is regarded as a vital contribution to the literature on the subject.

This book covers a range of sophisticated topics, including:

  • Spaces with non-vanishing curvature tensors admitting groups of automorphisms of the maximum order.

  • Groups of transformations in generalized spaces.

  • The study of global properties of motion groups in compact, orientable Riemannian spaces.

  • Lie derivatives in almost complex spaces.

With these discussions, Differential Geometry provides readers with a thorough exploration of geometric concepts, particularly those related to spaces, transformations, and group theory. Written for advanced undergraduates and graduate students, this classic remains an essential resource for anyone delving deeper into the rich world of differential geometry.