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Titlebook: Riemannian Geometry; Peter Petersen Textbook 20062nd edition Springer-Verlag New York 2006 Riemannian geometry.Submersion.Tensor.curvature

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書目名稱Riemannian Geometry
編輯Peter Petersen
視頻videohttp://file.papertrans.cn/831/830306/830306.mp4
概述Several theorems presented here appear for the first time in textbook form.Comprehensive introduction to Riemannian Geometry.Detailed and motivated description of the topic.Numerous exercises and exam
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Riemannian Geometry;  Peter Petersen Textbook 20062nd edition Springer-Verlag New York 2006 Riemannian geometry.Submersion.Tensor.curvature
描述.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.
出版日期Textbook 20062nd edition
關(guān)鍵詞Riemannian geometry; Submersion; Tensor; curvature; manifold
版次2
doihttps://doi.org/10.1007/978-0-387-29403-2
isbn_softcover978-1-4419-2123-9
isbn_ebook978-0-387-29403-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York 2006
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iew the current literature on the study of ., including theoretical and empirical research evidence in rural and urban settings. The review will address the concepts of ., reciprocity, social distance, cultural dimensions, social capital and Chinese ancient philosophy, especially Confucianism and Ta
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iew the current literature on the study of ., including theoretical and empirical research evidence in rural and urban settings. The review will address the concepts of ., reciprocity, social distance, cultural dimensions, social capital and Chinese ancient philosophy, especially Confucianism and Ta
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peptide ligands and mechanisms of regulation serve as prototypes for understanding the function of other particulate GC. Activation of this enzyme by its ligand is a complex process requiring oligomerization, ligand binding, KHD phosphorylation and ATP binding. Gene knockout and genetic segregation
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Textbook 20062nd editionersions .- 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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