Journal
FILOMAT
Volume 37, Issue 8, Pages 2577-2586Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2308577B
Keywords
Statistical structure; quasi-statistical structure; semi-Weyl structure; quasi-semi-Weyl structure; dual and semi-dual connections; statistical mirror symmetry; generalized geometry
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This article introduces the concept of statistical mirror symmetry, the notion of quasi-statistical mirror pairs, and provides examples for certain quasi-statistical manifolds. As an application, it obtains families of almost Ka center dot hler structures on the tangent bundle manifold of almost complex 4-dimensional solvmanifolds without complex structures. Finally, it proves that statistical mirror symmetry can be understood in terms of generalized geometry.
We describe statistical mirror symmetry, we introduce the notion of quasi-statistical mirror pairs and we give examples for certain quasi-statistical manifolds. As an application, we get families of almost Ka center dot hler structures on the tangent bundle manifold of almost complex 4-dimensional solvmanifolds without complex structures. Finally, we prove that statistical mirror symmetry can be understood in terms of generalized geometry.
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