Hamilton's Ricci Flow (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 77)

Bennett Chow

ISBN 10: 0821842315 / ISBN 13: 9780821842317

Verlag: American Mathematical Society, 2006

Beschreibung

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Bestandsnummer des Verkäufers Scanned0821842315

Bibliografische Details

• Titel: Hamilton's Ricci Flow (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 77)
• Verlag: American Mathematical Society
• Erscheinungsjahr: 2006
• Sprache: Englisch
• ISBN-10: 0821842315
• ISBN-13: 9780821842317
• Einband: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. To this end, the first chapter is a review of the relevant basics of Riemannian geometry. For the benefit of the student, the text includes a number of exercises of varying difficulty. The book also provides brief introductions to some general methods of geometric analysis and other geometric flows. Comparisons are made between the Ricci flow and the linear heat equation, mean curvature flow, and other geometric evolution equations whenever possible. Several topics of Hamilton's program are covered, such as short time existence, Harnack inequalities, Ricci solitons, Perelman's no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamilton's and Perelman's works, is the use of Ricci flow as an approach to solving the Poincare conjecture and Thurston's geometrization conjecture.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.