Band 171
Riemannian Geometry
Aus der Reihe
Graduate Texts in Mathematics
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- Hardcover
- Taschenbuch ausgewählt
- eBook
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Sprache:Englisch
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Verlag:Springer Us
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
23.11.2010
Verlag
Springer UsSeitenzahl
405
Maße (L/B/H)
23,5/15,5/2,3 cm
Gewicht
638 g
Auflage
2nd ed.
Sprache
Englisch
ISBN
978-1-4419-2123-9
Intended for a one year course, this volume serves 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. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research.
Important additions to this new edition include:
- A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise
- An increased number of coordinate calculations of connection and curvature
- General fomulas for curvature on Lie Groups and submersions
- Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger
- Several recent results about manifolds with positive curvature
Important additions to this new edition include:
- A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise
- An increased number of coordinate calculations of connection and curvature
- General fomulas for curvature on Lie Groups and submersions
- Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger
- Several recent results about manifolds with positive curvature
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