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  • 1
    Online Resource
    Online Resource
    Amsterdam : North-Holland
    UID:
    b3kat_BV039830111
    Format: 1 Online-Ressource (1 online resource)
    ISBN: 9780444520524 , 044452052X
    Note: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics , 1. Some problems on Finsler Geometry (J.C. Alvarez Paiva) -- 2. Foliations (R. Barre, A. El Kacimi) -- 3. Simplectic Geometry (A. Cannas da Silva) -- 4. Metric Riemannian Geometry (K. Fukaya) -- 5. Contact Geometry (H. Geiges) -- 6. Complex Diferential Geometry (I. Mihai) -- 7. Compendium on the Geometry of Lagrange Spaces (R. Miron) -- 8. Certain Actual Topics on Modern Lorentzian Geometry (F.J. Palomo, A. Romero)
    Language: English
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  • 2
    Online Resource
    Online Resource
    Amsterdam ; : Elsevier,
    UID:
    almahu_9947367653402882
    Format: 1 online resource (575 p.)
    ISBN: 1-280-63113-9 , 9786610631131 , 0-08-046120-4
    Series Statement: Handbook of differential geometry ; 2
    Content: In the series of volumes which together will constitute the ""Handbook of Differential Geometry"" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, co
    Note: Description based upon print version of record. , Cover; Contents; Preface; List of Contributors; Contents of Volume I; Some Problems on Finsler Geometry; Introduction; Preliminaries; Volume and area in Finsler spaces; Unit spheres in Minkowski spaces; Symplectic equivalence of Finsler manifolds; Around Hilbert's fourth problem; Closed geodesics; Differential invariants of Finsler surfaces; References; Foliations; Foreword; Definitions and examples; Transverse structures; Codimension one foliations; Gamma-structures; The leaf space; Characteristic classes; Basic global analysis; Deformation theory of foliations; Some other themes; References , Symplectic GeometryIntroduction; Symplectic manifolds; Lagrangian submanifolds; Complex structures; Symplectic geography; Hamiltonian geometry; Symplectic reduction; References; Metric Riemannian Geometry; Introduction; Sphere theorems; Finiteness theorems and Gromov-Hausdorff distance; Geodesic coordinate, injectivity radius, comparison theorems and sphere theorem; Packing and precompactness theorem; Construction of homeomorphism by isotopy theory; Harmonic coordinate and its application; Center of mass technique; Embedding Riemannian manifolds by distance function; Almost flat manifold , Collapsing Riemannian manifolds-ICollapsing Riemannian manifolds-II; Collapsing Riemannian manifolds-III; Morse theory of distance function; Finiteness theorem by Morse theory; Soul theorem and splitting theorem; Alexandrov space-I; Alexandrov space-II; First Betti number and fundamental group; Hausdorff convergence of Einstein manifolds; Sphere theorem and L2 comparison theorem; Hausdorff convergence and Ricci curvature-I; Hausdorff convergence and Ricci curvature-II; References; Contact Geometry; Introduction; Contact manifolds; Contact structures on 3-manifolds; A guide to the literature , ReferencesComplex Differential Geometry; Introduction; Complex manifolds; Almost complex structures; Dolbeault Lemma; Kaehler manifolds; Complex space forms; Laplace-Beltrami operator on a Hermitian manifold; Harmonic differential forms on Kaehler manifolds; Applications; Chern classes; Deformation of complex structures; References; Compendium on the Geometry of Lagrange Spaces; Introduction; Tangent bundle; Lagrange spaces; Finsler spaces; The geometry of T(k)M; Lagrange spaces of higher order; References; Certain Actual Topics on Modern Lorentzian Geometry; Preface , Some aspects on the topology of Lorentzian manifoldsGeodesics and completeness; Curvature of Lorentzian manifolds; The Bochner technique on Lorentzian manifolds; References; Author Index; Subject Index , English
    Additional Edition: ISBN 0-444-52052-X
    Language: English
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  • 3
    UID:
    gbv_630027536
    Format: Online Ressource
    Edition: Online-Ausg. 2007 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
    ISBN: 1280631139 , 9781280631139 , 044452052X , 9780444520524
    Content: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics
    Content: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics
    Note: Print version record , 1. Some problems on Finsler Geometry (J.C. Alvarez Paiva) -- 2. Foliations (R. Barre, A. El Kacimi) -- 3. Simplectic Geometry (A. Cannas da Silva) -- 4. Metric Riemannian Geometry (K. Fukaya) -- 5. Contact Geometry (H. Geiges) -- 6. Complex Diferential Geometry (I. Mihai) -- 7. Compendium on the Geometry of Lagrange Spaces (R. Miron) -- 8. Certain Actual Topics on Modern Lorentzian Geometry (F.J. Palomo, A. Romero). , In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics , Electronic reproduction; Mode of access: World Wide Web
    Additional Edition: ISBN 1280631139
    Additional Edition: ISBN 044452052X
    Additional Edition: Print version Handbook of differential geometry
    Additional Edition: Erscheint auch als Druck-Ausgabe Handbook of differential geometry ; Vol. 2 Amsterdam [u.a.] : Elsevier North Holland, 2006 ISBN 044452052X
    Additional Edition: ISBN 9780444520524
    Language: English
    Keywords: Electronic books ; Electronic books
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  • 4
    Book
    Book
    Amsterdam [u.a.] : Elsevier North Holland
    Show associated volumes
    UID:
    gbv_520181115
    Format: XIII, 560 S. , graph. Darst.
    Edition: 1. ed.
    ISBN: 044452052X , 9780444520524
    Note: Literaturangaben
    In: Vol. 2
    Additional Edition: Erscheint auch als Online-Ausgabe Handbook of differential geometry - Volume 2 Amsterdam : North-Holland, 2005 ISBN 1280631139
    Additional Edition: ISBN 9781280631139
    Additional Edition: ISBN 044452052X
    Additional Edition: ISBN 9780444520524
    Language: English
    Subjects: Mathematics
    RVK:
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  • 5
    UID:
    b3kat_BV035051986
    Format: XIII, 560 S. , Ill., graph. Darst.
    Edition: 1. ed.
    ISBN: 9780444520524 , 044452052X
    In: 2
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Differentialgeometrie
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  • 6
    UID:
    almahu_BV035051986
    Format: XIII, 560 S. : , Ill., graph. Darst.
    Edition: 1. ed.
    ISBN: 978-0-444-52052-4 , 0-444-52052-X
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Differentialgeometrie
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