African Diaspora Journal of Mathematics
- Afr. Diaspora J. Math. (N.S.)
- Volume 14, Number 2 (2012), 197-226.
KV-Cohomology and Differential Geometry of Affinely Flat Manifolds. Information Geometry
This paper is devoted to the socalled twisted cohomology of Koszul-Vinberg algebras. We discuss relationships between the twisted cohomology of Koszul-Vinberg algebras and Chevalley-Eilenberg cohomology of the commutator algebra of these algebras. We also discuss some geometry applications of these relationships. For instance we obtain some homological criteria for hyberbolicity and for completeness of locally flat manifolds. We also discuss some topics which are related to twisted cohomology. In particular, we use some techniques of information geometry to discuss canonical representations of locally flat connections.
Afr. Diaspora J. Math. (N.S.), Volume 14, Number 2 (2012), 197-226.
First available in Project Euclid: 31 July 2013
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 18Gxx: Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] 17D99: None of the above, but in this section 53B15: Other connections 53C12: Foliations (differential geometric aspects) [See also 57R30, 57R32] 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Nguiffo Boyom, M.; Ngakeu, F.; Byande, P. M.; Wolak, R. KV-Cohomology and Differential Geometry of Affinely Flat Manifolds. Information Geometry. Afr. Diaspora J. Math. (N.S.) 14 (2012), no. 2, 197--226. https://projecteuclid.org/euclid.adjm/1375293546