共查询到20条相似文献,搜索用时 437 毫秒
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Risong Li 《Chaos, solitons, and fractals》2012,45(6):753-758
Let (X,d) be a compact metric space and (κ(X),dH) be the space of all non-empty compact subsets of X equipped with the Hausdorff metric dH. The dynamical system (X,f) induces another dynamical system , where f:X → X is a continuous map and is defined by for any A ∈ κ(X). In this paper, we introduce the notion of ergodic sensitivity which is a stronger form of sensitivity, and present some sufficient conditions for a dynamical system (X,f) to be ergodically sensitive. Also, it is shown that is syndetically sensitive (resp. multi-sensitive) if and only if f is syndetically sensitive (resp. multi-sensitive). As applications of our results, several examples are given. In particular, it is shown that if a continuous map of a compact metric space is chaotic in the sense of Devaney, then it is ergodically sensitive. Our results improve and extend some existing ones. 相似文献
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B. Narasimha Chary 《Journal of Pure and Applied Algebra》2018,222(9):2552-2561
Let G be a simple algebraic group over the field of complex numbers. Fix a maximal torus T and a Borel subgroup B of G containing T. Let w be an element of the Weyl group W of G, and let be the Bott–Samelson–Demazure–Hansen (BSDH) variety corresponding to a reduced expression of w with respect to the data .In this article we give complete characterization of the expressions such that the corresponding BSDH variety is Fano or weak Fano. As a consequence we prove vanishing theorems of the cohomology of tangent bundle of certain BSDH varieties and hence we get some local rigidity results. 相似文献
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For a smooth geometrically integral algebraic variety X over a field k of characteristic 0, we define the extended Picard complex . It is a complex of length 2 which combines the Picard group and the group , where is a fixed algebraic closure of k and . For a connected linear k-group G we compute the complex (up to a quasi-isomorphism) in terms of the algebraic fundamental group . We obtain similar results for a homogeneous space X of a connected k-group G. To cite this article: M. Borovoi, J. van Hamel, C. R. Acad. Sci. Paris, Ser. I 342 (2006). 相似文献
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