LEADER 03216nam  22004935  450 
001 9910300137803321
005 20200705155103.0
010   $a3-319-99483-2
024 7 $a10.1007/978-3-319-99483-3
035   $a(CKB)4100000006674884
035   $a(MiAaPQ)EBC5520936
035   $a(DE-He213)978-3-319-99483-3
035   $a(PPN)230539653
035   $a(EXLCZ)994100000006674884
100   $a20180920d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aKähler Immersions of Kähler Manifolds into Complex Space Forms /$fby Andrea Loi, Michela Zedda
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (105 pages)
225 1 $aLecture Notes of the Unione Matematica Italiana,$x1862-9113 ;$v23
311   $a3-319-99482-4 
327   $a- The Diastasis Function -- Calabi's Criterion -- Homogeneous Kähler manifolds -- Kähler-Einstein Manifolds -- Hartogs Type Domains -- Relatives -- Further Examples and Open Problems.
330   $aThe aim of this book is to describe Calabi's original work on Kähler immersions of Kähler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems. Calabi's pioneering work, making use of the powerful tool of the diastasis function, allowed him to obtain necessary and sufficient conditions for a neighbourhood of a point to be locally Kähler immersed into a finite or infinite-dimensional complex space form. This led to a classification of (finite-dimensional) complex space forms admitting a Kähler immersion into another, and to decades of further research on the subject. Each chapter begins with a brief summary of the topics to be discussed and ends with a list of exercises designed to test the reader's understanding. Apart from the section on Kähler immersions of homogeneous bounded domains into the infinite complex projective space, which could be skipped without compromising the understanding of the rest of the book, the prerequisites to read this book are a basic knowledge of complex and Kähler geometry.
410  0$aLecture Notes of the Unione Matematica Italiana,$x1862-9113 ;$v23
606   $aDifferential geometry
606   $aFunctions of complex variables
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
615  0$aDifferential geometry.
615  0$aFunctions of complex variables.
615 14$aDifferential Geometry.
615 24$aSeveral Complex Variables and Analytic Spaces.
676   $a515.73
700   $aLoi$b Andrea$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767832
702   $aZedda$b Michela$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300137803321
996   $aKähler Immersions of Kähler Manifolds into Complex Space Forms$91923099
997   $aUNINA