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Record Nr. |
UNISA996466672603316 |
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Autore |
Abate Marco <1962-> |
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Titolo |
Finsler metrics -- a global approach : with applications to geometric function theory / / Marco Abate, Giorgio Patrizio |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1994] |
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©1994 |
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ISBN |
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Edizione |
[1st ed. 1994.] |
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Descrizione fisica |
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1 online resource (IX, 182 p.) |
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Collana |
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Scuola Normale Superiore, Pisa ; ; 1591 |
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Disciplina |
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Soggetti |
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Complex manifolds |
Finsler spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature. |
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Sommario/riassunto |
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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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