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国家自然科学基金(11221091)

作品数:4 被引量:4H指数:1
发文基金:国家自然科学基金美国国家科学基金国家教育部博士点基金更多>>
相关领域:理学自动化与计算机技术更多>>

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Homogeneous manifolds admitting non-Riemannian Einstein-Randers metrics被引量:3
2015年
In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous manifolds admit Riemannian Einstein metrics. Based on these metrics, we obtain non-Riemannian Einstein Randers metrics on them.
CHEN ZhiQiDENG ShaoQiangLIANG Ke
An equivalence theorem of a class of Minkowski norms and its applications被引量:1
2021年
In this paper, the Cartan tensors of the(α, β)-norms are investigated in detail. Then an equivalence theorem of(α, β)-norms is proved. As a consequence in Finsler geometry, general(α, β)-metrics on smooth manifolds of dimension n 4 with vanishing Landsberg curvatures must be Berwald manifolds.
Huitao FengYuhua HanMing Li
Totally compatible associative and Lie dialgebras,tridendriform algebras and PostLie algebras
2014年
This paper studies the concepts of a totally compatible dialgebra and a totally compatible Lie dialgebra,defined to be a vector space with two binary operations that satisfy individual and mixed associativity conditions and Lie algebra conditions respectively.We show that totally compatible dialgebras are closely related to bimodule algebras and semi-homomorphisms.More significantly,Rota-Baxter operators on totally compatible dialgebras provide a uniform framework to generalize known results that Rota-Baxter related operators give tridendriform algebras.Free totally compatible dialgebras are constructed.We also show that a Rota-Baxter operator on a totally compatible Lie dialgebra gives rise to a PostLie algebra,generalizing the fact that a Rota-Baxter operator on a Lie algebra gives rise to a PostLie algebra.
ZHANG YongBAI ChengMingGUO Li
Anomaly cancellation and modularity, II:The E_8× E_8 case
2017年
In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group E8 × E8 and the Ho^ava-Witten anomaly factorization formula for the gauge group E8 can be derived through modular forms of weight 14. This answers a question of Schwarz. We also establish generalizations of these factorization formulas and obtain a new Horava-Witten type factorization formula.
HAN FeiLIU KeFengZHANG WeiPing
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