000 02923nam a22005175i 4500
001 978-3-540-48812-5
003 DE-He213
005 20190213151322.0
007 cr nn 008mamaa
008 121227s1994 gw | s |||| 0|eng d
020 _a9783540488125
_9978-3-540-48812-5
024 7 _a10.1007/BFb0073980
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.9
_223
100 1 _aAbate, Marco.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFinsler Metrics—A Global Approach
_h[electronic resource] :
_bwith applications to geometric function theory /
_cby Marco Abate, Giorgio Patrizio.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1994.
300 _aIX, 182 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aScuola Normale Superiore, Pisa ;
_v1591
505 0 _aReal Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature.
520 _aComplex 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.
650 0 _aFunctions of complex variables.
650 0 _aGlobal analysis (Mathematics).
650 0 _aGlobal differential geometry.
650 1 4 _aFunctions of a Complex Variable.
_0http://scigraph.springernature.com/things/product-market-codes/M12074
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
700 1 _aPatrizio, Giorgio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662209394
776 0 8 _iPrinted edition:
_z9783540584650
830 0 _aScuola Normale Superiore, Pisa ;
_v1591
856 4 0 _uhttps://doi.org/10.1007/BFb0073980
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10262
_d10262