LEADER 03658nam  2200697   450 
001 9910788820303321
005 20230807210931.0
010   $a3-11-039090-6
010   $a3-11-026889-2
024 7 $a10.1515/9783110268898
035   $a(CKB)3360000000514892
035   $a(EBL)1663180
035   $a(SSID)ssj0001530691
035   $a(PQKBManifestationID)12559968
035   $a(PQKBTitleCode)TC0001530691
035   $a(PQKBWorkID)11529905
035   $a(PQKB)10446789
035   $a(MiAaPQ)EBC1663180
035   $a(DE-B1597)173732
035   $a(OCoLC)921228113
035   $a(OCoLC)979970990
035   $a(DE-B1597)9783110268898
035   $a(Au-PeEL)EBL1663180
035   $a(CaPaEBR)ebr11087965
035   $a(CaONFJC)MIL821097
035   $a(EXLCZ)993360000000514892
100   $a20150820h20152015  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 00$aGlobal affine differential geometry of hypersurfaces /$fAn-Min Li [and three others]
205   $aSecond revised and extended edition.
210  1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2015.
210  4$d©2015
215   $a1 online resource (378 p.)
225 1 $aDe Gruyter Expositions in Mathematics,$x0938-6572 ;$vVolume 11
300   $aDescription based upon print version of record.
311   $a3-11-026667-9 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tContents -- $tIntroduction -- $t1. Preliminaries and basic structural aspects -- $t2. Local equiaffine hypersurface theory -- $t3. Affine hyperspheres -- $t4. Rigidity and uniqueness theorems -- $t5. Variational problems and affine maximal surfaces -- $t6. Hypersurfaces with constant affine Gauß-Kronecker curvature -- $t7. Geometric inequalities -- $tA. Basic concepts from differential geometry -- $tB. Laplacian comparison theorem -- $tBibliography -- $tIndex -- $tBackmatter
330   $aThis book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry - as differential geometry in general - has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces.The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof. 
410  0$aDe Gruyter expositions in mathematics ;$vVolume 11.
606   $aGlobal differential geometry
606   $aHypersurfaces
610   $aAffine differential geometry.
610   $aGlobal differential geometry.
610   $aHypersurfaces.
615  0$aGlobal differential geometry.
615  0$aHypersurfaces.
676   $a516.3/62
700   $aLi$b An-Min, $0726115
702   $aLi$b Anmin
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788820303321
996   $aGlobal affine differential geometry of hypersurfaces$93764866
997   $aUNINA