LEADER 02998nam  2200649Ia 450 
001 9910784038503321
005 20230721025415.0
010   $a1-281-12108-8
010   $a9786611121082
010   $a981-270-753-0
035   $a(CKB)1000000000334189
035   $a(EBL)312289
035   $a(OCoLC)476099460
035   $a(SSID)ssj0000162065
035   $a(PQKBManifestationID)11947043
035   $a(PQKBTitleCode)TC0000162065
035   $a(PQKBWorkID)10200863
035   $a(PQKB)11585512
035   $a(MiAaPQ)EBC312289
035   $a(WSP)00006241
035   $a(Au-PeEL)EBL312289
035   $a(CaPaEBR)ebr10188822
035   $a(CaONFJC)MIL112108
035   $a(OCoLC)172989118
035   $a(EXLCZ)991000000000334189
100   $a20070428d2007      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe geometry of Hessian structures$b[electronic resource] /$fHirohiko Shima
210   $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2007
215   $a1 online resource (261 p.)
300   $aDescription based upon print version of record.
311   $a981-270-031-5 
320   $aIncludes bibliographical references (p. 237-241) and index.
327   $aPreface; Introduction; Contents; 1. Affine spaces and connections; 2. Hessian structures; 3. Curvatures for Hessian structures; 4. Regular convex cones; 5. Hessian structures and affine differential geometry; 6. Hessian structures and information geometry; 7. Cohomology on at manifolds; 8. Compact Hessian manifolds; 9. Symmetric spaces with invariant Hessian structures; 10. Homogeneous spaces with invariant Hessian structures; 11. Homogeneous spaces with invariant projectively at connections; Bibliography; Index
330   $aThe geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Ka?hlerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied mathematics. This systematic introduction to the subject first develops the fundamentals of Hessian structures on the basis of a certain pair of a flat connection and a Riemannian metric, and then describes these related fields as applications of the
517 3 $aHessian structures
606   $aGeometry, Differential
606   $aHomology theory
606   $aHomogeneous spaces
606   $aManifolds (Mathematics)
615  0$aGeometry, Differential.
615  0$aHomology theory.
615  0$aHomogeneous spaces.
615  0$aManifolds (Mathematics)
676   $a516.36
700   $aShima$b Hirohiko$0629790
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910784038503321
996   $aGeometry of Hessian structures$91225626
997   $aUNINA