Articoli correlati a Riemannian Geometry: v. 171
Sinossi
This book is intended for a one year course in Riemannian Geometry. It will serve as a single source, introducing students to the important techniques and theorems while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian Geometry. Instead of variational techniques, the author uses a unique approach emphasizing distance functions and special coordinate systems. He also uses standard calculus with some techniques from differential equations, instead of variational calculus, thereby providing a more elementary route for students. Many of the chapters contain material typically found in specialized texts and never before published together in one source. Key sections include noteworthy coverage of: geodesic geometry, Bochner technique, symmetric spaces, holonomy, comparison theory for both Ricci and sectional curvature, and convergence theory. This volume is one of the few published works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory as well as presenting the most up-to-date research including sections on convergence and compactness of families of manifolds. This book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stoke's theorem. Scattered throughout the text is a variety of exercises which will help to motivate readers to deepen their understanding of the subject.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
P. Petersen
Riemannian Geometry
"A nice introduction to Riemannian geometry, containing basic theory as well as several advanced topics."
―EUROPEAN MATHEMATICAL SOCIETY
Contenuti
Contents: Introduction.- Riemannian Metrics.- Curvature.- Examples.- Hypersurfaces.- Geodesics and Distance.- Sectional Curvature Comparison I.- The Bochner Technique.- Symmetric Spaces and Holony.- Ricci Curvature Comparison.- Convergence.- Sectional Curvature Comparison II.- Appendices. A: DeRham Cohomology. B: Principal Bundles. C: Spinors.- Bibliography.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Riemannian Geometry
Editore:
SPRINGER VERLAG GMBH, 1997
ISBN 10: 0387982124
ISBN 13: 9780387982120
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Da: Buchpark, Trebbin, Germania
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Condizione: Gut. Zustand: Gut | Seiten: 456 | Sprache: Englisch | Produktart: Bücher. Codice articolo 666229/203
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Riemannian Geometry [Graduate Texts in Mathematics, Volume 171]
Editore:
Springer, New York., 1998
ISBN 10: 0387982124
ISBN 13: 9780387982120
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Da: Tiber Books, Cockeysville, MD, U.S.A.
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Hardcover. Condizione: Very Good. 8vo, hardcover. No dj, as issued. Vg condition. Prev. owner's name; Contents bright, crisp & clean, appears unread. Covers wrapped in transparent plastic laminate for protection. xvi, 432 p. Codice articolo 1150327.21
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Riemannian Geometry (Graduate Texts in Mathematics)
Da: Mythos Center Books, Frontenac, MN, U.S.A.
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Hardcover. Condizione: Used: Very Good. Very Good Hardcover, text is clean and covers are nice. Codice articolo 68859
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Riemannian Geometry (Graduate Texts in Mathematics)
Da: The Maryland Book Bank, Baltimore, MD, U.S.A.
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hardcover. Condizione: Very Good. F First Edition. Used - Very Good. Codice articolo 9-X-1-0151
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RIEMANNIAN GEOMETRY
Da: LIBRERIA LEA+, Santiago, RM, Cile
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Dura. Condizione: New. Condizione sovraccoperta: Nuevo. No Aplica (illustratore). 0. This book is intended for a one year course in Riemannian Geometry. It will serve as a single source, introducing students to the important techniques and theorems while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian Geometry. Instead of variational techniques, the author uses a unique approach emphasizing distance functions and special coordinate systems. He also uses standard calculus with some techniques from differential equations, instead of variational calculus, thereby providing a more elementary route for students. Many of the chapters contain material typically found in specialized texts and never before published together in one source. Key sections include noteworthy coverage of: geodesic geometry, Bochner technique, symmetric spaces, holonomy, comparison theory for both Ricci and sectional curvature, and convergence theory. This volume is one of the few published works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory as well as presenting the most up-to-date research including sections on convergence and compactness of families of manifolds. This book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stoke's theorem. Scattered throughout the text is a variety of exercises which will help to motivate readers to deepen their understanding of the subject. 760 gr. Libro. Codice articolo 9780387982120LEA19557
Quantità: 1 disponibili