Scuola Normale Superiore, Pisa

Finsler Metrics - A Global Approach

with Applications to Geometric Function Theory

Authors: Abate, Marco, Patrizio, Giorgio

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  • ISBN 978-3-540-48812-5
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About this book

Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kählerianity, geodesics, curvature. Finally global geometry and complex Monge-Ampère equations are discussed for Finsler manifolds with constant holomorphic curvature, which are important in geometric function theory. Following E. Cartan, S.S. Chern and S. Kobayashi, the global approach carries the full strength of hermitian geometry of vector bundles avoiding cumbersome computations, and thus fosters applications in other fields.

Table of contents (3 chapters)

  • Real Finsler geometry

    Abate, Marco (et al.)

    Pages 1-62

  • Complex Finsler geometry

    Abate, Marco (et al.)

    Pages 63-125

  • Manifolds with constant holomorphic curvature

    Abate, Marco (et al.)

    Pages 127-170

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-48812-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-58465-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Finsler Metrics - A Global Approach
Book Subtitle
with Applications to Geometric Function Theory
Authors
Series Title
Scuola Normale Superiore, Pisa
Series Volume
1591
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48812-5
DOI
10.1007/BFb0073980
Softcover ISBN
978-3-540-58465-0
Edition Number
1
Number of Pages
IX, 182
Topics