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Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory

by Marco Abate
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Current price ₹1,833.00
Original price ₹2,820.00
Original price ₹2,820.00
Original price ₹2,820.00
(-35%)
₹1,833.00
Current price ₹1,833.00

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Book cover type: Paperback
  • ISBN13: 9783540584650
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 182
  • Original Price: EUR 24.95
  • Language: English
  • Edition: 1994
  • Item Weight: 305 grams
  • BISAC Subject(s): Geometry / Analytic, Mathematical Analysis, and Geometry / Differential

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.

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