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This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and $p$-plane fields. Chapter IV develops the notion of connection on a Riemannian manifold considered as a means to define parallel transport on the manifold.The author also discusses related notions of torsion and curvature, and gives a working knowledge of the covariant derivative. Chapter V specializes on Riemannian manifolds by deducing global properties from local properties of curvature, the final goal being to determine the manifold completely. Chapter VI explores some problems in PDEs suggested by the geometry of manifolds. The author is well known for his significant contributions to the field of geometry and PDEs - particularly for his work on the Yamabe problem - and for his expository accounts on the subject. The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory.
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This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and p-plane fields. Chapter IV develops the notion of connection on a Riemannian manifold considered as a means to define parallel transport on the manifold. The author also discusses related notions of torsion and curvature, and gives a working knowledge of the covariant derivative. Chapter V specializes on Riemannian manifolds by deducing global properties from local properties of curvature, the final goal being to determine the manifold completely. Chapter VI explores some problems in PDEs suggested by the geometry of manifolds. The author is well-known for his significant contributions to the field of geometry and PDEs - particularly for his work on the Yamabe problem - and for his expository accounts on the subject. The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory.
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A Course in Differential Geometry (Graduate studies in mathematics, vol.27).
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American Mathematical Society., 2000
ISBN 10: 082182709X
ISBN 13: 9780821827093
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A Course in Differential Geometry (Graduate Studies in Mathematics)
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ISBN 13: 9780821827093
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A Course in Differential Geometry (Graduate Studies in Mathematics Volume 27)
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American Mathematical Society, Providence, Rhode Island, 2000
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ISBN 13: 9780821827093
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A Course in Differential Geometry (Graduate Studies in Mathematics)
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American Mathematical Society, 2000
ISBN 10: 082182709X
ISBN 13: 9780821827093
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Condición: New. Suitable for second-year graduate students, this title is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It also deals with vector fields and differential forms. Series: Graduate Studies in Mathematics. Num Pages: 208 pages, Illustrations. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 260 x 185 x 15. Weight in Grams: 510. . 2000. Hardcover. . . . . Nº de ref. del artículo: V9780821827093
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A Course in Differential Geometry
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MP-AMM American Mathematical, 2000
ISBN 10: 082182709X
ISBN 13: 9780821827093
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A Course in Differential Geometry (Graduate Studies in Mathematics)
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American Mathematical Society, 2000
ISBN 10: 082182709X
ISBN 13: 9780821827093
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Condición: New. Suitable for second-year graduate students, this title is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It also deals with vector fields and differential forms. Series: Graduate Studies in Mathematics. Num Pages: 208 pages, Illustrations. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 260 x 185 x 15. Weight in Grams: 510. . 2000. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780821827093
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A Course in Differential Geometry (Graduate Studies in Mathematics)
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Amer Mathematical Society, 2000
ISBN 10: 082182709X
ISBN 13: 9780821827093
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A Course in Differential Geometry
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Condición: New. Suitable for second-year graduate students, this title is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. . Nº de ref. del artículo: 617345332
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Course in Differential Geometry
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American Mathematical Society, 2000
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A Course in Differential Geometry
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American Mathematical Society, US, 2000
ISBN 10: 082182709X
ISBN 13: 9780821827093
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Hardback. Condición: New. This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and $p$-plane fields. Chapter IV develops the notion of connection on a Riemannian manifold considered as a means to define parallel transport on the manifold.The author also discusses related notions of torsion and curvature, and gives a working knowledge of the covariant derivative. Chapter V specializes on Riemannian manifolds by deducing global properties from local properties of curvature, the final goal being to determine the manifold completely. Chapter VI explores some problems in PDEs suggested by the geometry of manifolds. The author is well known for his significant contributions to the field of geometry and PDEs - particularly for his work on the Yamabe problem - and for his expository accounts on the subject. The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory. Nº de ref. del artículo: LU-9780821827093
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