9783031012778 - applications of affine and weyl geometry di garcía-río, eduardo; gilkey, peter; nikčević, stana; vázquez-lorenzo, ramón (16 risultati)
Applications of Affine and Weyl Geometry
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
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Applications of Affine and Weyl Geometry
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
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Applications of Affine and Weyl Geometry (Synthesis Lectures on Mathematics & Statistics)
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
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Applications of Affine and Weyl Geometry
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
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Applications of Affine and Weyl Geometry (Synthesis Lectures on Mathematics & Statistics)
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
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Applications of Affine and Weyl Geometry
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
Serie: Libro 12 di 72 - Synthesis Lectures on Mathematics & Statistics
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Lingua: Inglese
Editore: Springer, 2013
Serie: Libro 12 di 72 - Synthesis Lectures on Mathematics & Statistics
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in different cont…exts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In this book, we reverse this point of view and instead associate an auxiliary pseudo-Riemannian structure of neutral signature to certain affine connections and use this correspondence to study both geometries. We examine Walker structures, Riemannian extensions, and Kähler--Weyl geometry from this viewpoint. This book is intended to be accessible to mathematicians who are not expert in the subject and to students with a basic grounding in differential geometry. Consequently, the first chapter contains a comprehensive introduction to the basic results and definitions we shall need---proofs are included of many of these results to make it as self-contained as possible. Para-complex geometry plays an important role throughout the book and consequently is treated carefully in various chapters, as is the representation theory underlying various results. It is a feature of this book that, rather than as regarding para-complex geometry as an adjunct to complex geometry, instead, we shall often introduce the para-complex concepts first and only later pass to the complex setting. The second and third chapters are devoted to the study of various kinds of Riemannian extensions that associate to an affine structure on a manifold a corresponding metric of neutral signature on its cotangent bundle. These play a role in various questions involving the spectral geometry of the curvature operator and homogeneous connections on surfaces. The fourth chapter deals with Kähler--Weyl geometry, which lies, in a certain sense, midway between affine geometry and Kähler geometry. Another feature of the book is that we have tried wherever possibleto find the original references in the subject for possible historical interest. Thus, we have cited the seminal papers of Levi-Civita, Ricci, Schouten, and Weyl, to name but a few exemplars. We have also given different proofs of various results than those that are given in the literature, to take advantage of the unified treatment of the area given herein.
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Lingua: Inglese
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Taschenbuch. Condizione: Neu. Applications of Affine and Weyl Geometry | Eduardo García-Río (u. a.) | Taschenbuch | Synthesis Lectures on Mathematics & Statistics | xv | Englisch | 2013 | Springer | EAN 9783031012778 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartm…ann[at]springer[dot]com | Anbieter: preigu.
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Applications of Affine and Weyl Geometry
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
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Lingua: Inglese
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise i…n different contexts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In this book, we reverse this point of view and instead associate an auxiliary pseudo-Riemannian structure of neutral signature to certain affine connections and use this correspondence to study both geometries. We examine Walker structures, Riemannian extensions, and Kähler--Weyl geometry from this viewpoint. This book is intended to be accessible to mathematicians who are not expert in the subject and to students with a basic grounding in differential geometry. Consequently, the first chapter contains a comprehensive introduction to the basic results and definitions we shall need---proofs are included of many of these results to make it as self-contained as possible. Para-complex geometry plays an important role throughout the book and consequently is treated carefully in various chapters, as is the representation theory underlying various results. It is a feature of this book that, rather than as regarding para-complex geometry as an adjunct to complex geometry, instead, we shall often introduce the para-complex concepts first and only later pass to the complex setting. The second and third chapters are devoted to the study of various kinds of Riemannian extensions that associate to an affine structure on a manifold a corresponding metric of neutral signature on its cotangent bundle. These play a role in various questions involving the spectral geometry of the curvature operator and homogeneous connections on surfaces. The fourth chapter deals with Kähler--Weyl geometry, which lies, in a certain sense, midway between affine geometry and Kähler geometry. Another feature of the book is that we have tried wherever possible to find the original references in the subject for possible historical interest. Thus, we have cited the seminal papers of Levi-Civita, Ricci, Schouten, and Weyl, to name but a few exemplars. We have also given different proofs of various results than those that are given in the literature, to take advantage of the unified treatment of the area given herein. 172 pp. Englisch.
Applications of Affine and Weyl Geometry (Synthesis Lectures on Mathematics & Statistics)
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
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Applications of Affine and Weyl Geometry (Synthesis Lectures on Mathematics & Statistics)
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, 2013
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Applications of Affine and Weyl Geometry
García-Río, Eduardo|Gilkey, Peter|Nikcevic, Stana|Vázquez-Lorenzo, Ramón
Lingua: Inglese
Editore: Springer, Berlin|Springer International Publishing|Morgan & Claypool|Springer, 2013
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connection…s which arise in different contexts, such.
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Editore: Springer, Springer Mai 2013, 2013
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in di…fferent contexts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In this book, we reverse this point of view and instead associate an auxiliary pseudo-Riemannian structure of neutral signature to certain affine connections and use this correspondence to study both geometries. We examine Walker structures, Riemannian extensions, and Kähler--Weyl geometry from this viewpoint. This book is intended to be accessible to mathematicians who are not expert in the subject and to students with a basic grounding in differential geometry. Consequently, the first chapter contains a comprehensive introduction to the basic results and definitions we shall need---proofs are included of many of these results to make it as self-contained as possible. Para-complex geometry plays an important role throughout the book and consequently is treated carefully in various chapters, as is the representation theory underlying various results. It is a feature of this book that, rather than as regarding para-complex geometry as an adjunct to complex geometry, instead, we shall often introduce the para-complex concepts first and only later pass to the complex setting. The second and third chapters are devoted to the study of various kinds of Riemannian extensions that associate to an affine structure on a manifold a corresponding metric of neutral signature on its cotangent bundle. These play a role in various questions involving the spectral geometry of the curvature operator and homogeneous connections on surfaces. The fourth chapter deals with Kähler--Weyl geometry, which lies, in a certain sense, midway between affine geometry and Kähler geometry. Another feature of the book is that we have tried wherever possibleto find the original references in the subject for possible historical interest. Thus, we have cited the seminal papers of Levi-Civita, Ricci, Schouten, and Weyl, to name but a few exemplars. We have also given different proofs of various results than those that are given in the literature, to take advantage of the unified treatment of the area given herein.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 172 pp. Englisch.
