02684nam 2200613 450 99646667260331620220226131656.03-540-48812-X10.1007/BFb0073980(CKB)1000000000437192(SSID)ssj0000323158(PQKBManifestationID)12064853(PQKBTitleCode)TC0000323158(PQKBWorkID)10296499(PQKB)10875724(DE-He213)978-3-540-48812-5(MiAaPQ)EBC5585545(Au-PeEL)EBL5585545(OCoLC)1066179899(MiAaPQ)EBC6857149(Au-PeEL)EBL6857149(PPN)155203053(EXLCZ)99100000000043719220220226d1994 uy 0engurnn|008mamaatxtccrFinsler metrics -- a global approach with applications to geometric function theory /Marco Abate, Giorgio Patrizio1st ed. 1994.Berlin, Germany ;New York, New York :Springer-Verlag,[1994]©19941 online resource (IX, 182 p.) Scuola Normale Superiore, Pisa ;1591Bibliographic Level Mode of Issuance: Monograph3-540-58465-X Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature.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.Scuola Normale Superiore, Pisa ;1591Complex manifoldsFinsler spacesComplex manifolds.Finsler spaces.515Abate Marco1962-22089Patrizio GiorgioMiAaPQMiAaPQMiAaPQBOOK996466672603316Finsler metrics - a global approach262448UNISA