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portada finsler metrics - a global approach
finsler metrics - a global approachfinsler metrics - a global approach
Type
Physical Book
Publisher
Language
English
Pages
180
ISBN
354058465X
ISBN13
9783540584650

finsler metrics - a global approach

Abate,Patrizio (Author) · Springer · Physical Book

finsler metrics - a global approach - abate,patrizio

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Synopsis "finsler metrics - a global approach"

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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