Duality and statistical mirror symmetry in the generalized geometry setting

被引：1
|
作者：
Blaga, Adara M. [1 ]
Nannicini, Antonella [2 ]
机构：
[1] West Univ Timisoara, Dept Math, Bld V Parvan nr 4, Timisoara 300223, Romania
[2] Univ Florence, Dept Math & Informat U Dini, Viale Morgagni,67-a, I-50134 Florence, Italy
来源：
FILOMAT | 2023年 / 37卷 / 08期
关键词：
Statistical structure; quasi-statistical structure; semi-Weyl structure; quasi-semi-Weyl structure; dual and semi-dual connections; statistical mirror symmetry; generalized geometry;
D O I：
10.2298/FIL2308577B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：2577 / 2586
页数：10
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