LEADER 00000cam a2200601Ia 4500 001 ocn172989118 003 OCoLC 005 20160527041150.7 006 m o d 007 cr cnu---unuuu 008 070918s2007 nju ob 001 0 eng d 020 9789812707536|q(electronic book) 020 9812707530|q(electronic book) 035 (OCoLC)172989118 040 N$T|beng|epn|cN$T|dYDXCP|dOCLCQ|dIDEBK|dOCLCQ|dMERUC |dOCLCQ|dOCLCF|dOCLCQ|dNLGGC|dOCLCQ|dEBLCP|dOCLCQ 049 RIDW 050 4 QA641|b.S458 2007eb 072 7 MAT|x012030|2bisacsh 082 04 516.36|222 090 QA641|b.S458 2007eb 100 1 Shima, Hirohiko.|0https://id.loc.gov/authorities/names/ no2007069178 245 14 The geometry of Hessian structures /|cHirohiko Shima. 246 30 Hessian structures 264 1 Hackensack, N.J. :|bWorld Scientific,|c[2007] 264 4 |c©2007 300 1 online resource (xiv, 246 pages) 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 504 Includes bibliographical references (pages 237-241) and index. 505 0 Preface; 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. 520 The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian 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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Geometry, Differential.|0https://id.loc.gov/authorities/ subjects/sh85054146 650 0 Homology theory.|0https://id.loc.gov/authorities/subjects/ sh85061770 650 0 Homogeneous spaces.|0https://id.loc.gov/authorities/ subjects/sh85061766 650 0 Manifolds (Mathematics)|0https://id.loc.gov/authorities/ subjects/sh85080549 650 7 Geometry, Differential.|2fast|0https://id.worldcat.org/ fast/940919 650 7 Homology theory.|2fast|0https://id.worldcat.org/fast/ 959720 650 7 Homogeneous spaces.|2fast|0https://id.worldcat.org/fast/ 959713 650 7 Manifolds (Mathematics)|2fast|0https://id.worldcat.org/ fast/1007726 655 4 Electronic books. 776 08 |iPrint version:|aShima, Hirohiko.|tGeometry of Hessian structures.|dHackensack, N.J. : World Scientific, ©2007 |z9812700315|z9789812700315|w(DLC) 2007298479 |w(OCoLC)167542989 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=203860|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160615|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID