Lectures on Differential Geometry: 245 (Graduate Studies in Mathematics) - Tapa blanda

Chow, Bennett; Chow, Yutze

 
9781470478049: Lectures on Differential Geometry: 245 (Graduate Studies in Mathematics)
Tapa blanda
ISBN 10: 1470478048 ISBN 13: 9781470478049
Editorial: American Mathematical Society, 2024

Sinopsis

Differential geometry is a subject related to many fields in mathematics and the sciences. The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three distinct parts: an introduction to geometry via submanifolds of Euclidean space, a first course in Riemannian geometry, and a graduate special topics course in geometric analysis, and it contains more than enough content to serve as a good textbook for a course in any of these three topics.

The reader will learn about the classical theory of submanifolds, smooth manifolds, Riemannian comparison geometry, bundles, connections, and curvature, the Chern-Gauss-Bonnet formula, harmonic functions, eigenfunctions, and eigenvalues on Riemannian manifolds, minimal surfaces, the curve shortening flow, and the Ricci flow on surfaces. This will provide a pathway to further topics in geometric analysis such as Ricci flow, used by Hamilton and Perelman to solve the Poincare and Thurston geometrization conjectures, mean curvature flow, and minimal submanifolds.

The book is primarily aimed at graduate students in geometric analysis, but it will also be of interest to postdoctoral researchers and established mathematicians looking for a refresher or deeper exploration of the topic.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Bennett Chow, University of California, San Diego, La Jolla, CA, and Yutze Chow, University of Wisconsin - Milwaukee, WI.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2024
Idioma
Inglés
ISBN 10 
1470478048
ISBN 13 
9781470478049
Encuadernación
Tapa blanda
Número de páginas
750
Contacto del fabricante
no disponible
Persona responsable
no disponible