Geodesic
Duality and statistical mirror symmetry in the generalized geometry setting
Filomat, Tome 37 (2023) no. 8, p. 2577

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DOI

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 Kähler 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.
DOI : 10.2298/FIL2308577B
Classification : 53C15, 53C05, 53C38
Keywords: Statistical structure, quasi-statistical structure, semi-Weyl structure, quasi-semi-Weyl structure, dual and semi-dual connections, statistical mirror symmetry, generalized geometry 
Adara M Blaga; Antonella Nannicini. Duality and statistical mirror symmetry in the generalized geometry setting. Filomat, Tome 37 (2023) no. 8, p. 2577 . doi: 10.2298/FIL2308577B
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     title = {Duality and statistical mirror symmetry in the generalized geometry setting},
     journal = {Filomat},
     pages = {2577 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308577B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308577B/}
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