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Affine Connections and Gauss-Bonnet Theorems in the Heisenberg Group 被引量:1
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作者 WANG Yong 《数学进展》 CSCD 北大核心 2024年第5期1103-1119,共17页
In this paper,we compute sub-Riemannian limits of Gaussian curvature associated to two kinds of Schouten-Van Kampen affine connections and the adapted connection for a Euclidean C2-smooth surface in the Heisenberg gro... In this paper,we compute sub-Riemannian limits of Gaussian curvature associated to two kinds of Schouten-Van Kampen affine connections and the adapted connection for a Euclidean C2-smooth surface in the Heisenberg group away from characteristic points and signed geodesic curvature associated to two kinds of Schouten-Van Kampen affine connections and the adapted connection for Euclidean C2-smooth curves on surfaces.We get Gauss-Bonnet theorems associated to two kinds of Schouten-Van Kampen affine connections in the Heisenberg group. 展开更多
关键词 Schouten-Van Kampen affine connection the adapted connection Gauss-Bonnet theorem sub-Riemannian limit Heisenberg group
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Adapted Metrics for a Modified Coulomb/Newton’s Potential
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作者 Lucian M. Ionescu Cristina-Liliana Pripoae Gabriel Pripoae 《Journal of High Energy Physics, Gravitation and Cosmology》 2023年第4期1311-1355,共45页
Modified Theories of Gravity include spin dependence in General Relativity, to account for additional sources of gravity instead of dark matter/energy approach. The spin-spin interaction is already included in the eff... Modified Theories of Gravity include spin dependence in General Relativity, to account for additional sources of gravity instead of dark matter/energy approach. The spin-spin interaction is already included in the effective nuclear force potential, and theoretical considerations and experimental evidence hint to the hypothesis that Gravity originates from such an interaction, under an averaging process over spin directions. This invites to continue the line of theory initiated by Einstein and Cartan, based on tetrads and spin effects modeled by connections with torsion. As a first step in this direction, the article considers a new modified Coulomb/Newton Law accounting for the spin-spin interaction. The physical potential is geometrized through specific affine connections and specific semi-Riemannian metrics, canonically associated to it, acting on a manifold or at the level of its tangent bundle. Freely falling particles in these “toy Universes” are determined, showing an interesting behavior and unexpected patterns. 展开更多
关键词 Modified Gravity Theory SPIN Coulomb’s Law Newton’s Law Modified Coulomb’s Law Nuclear Force adapted connection adapted Metric
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An Adaptive Push-Styled Command and Control Mechanism in Mobile Botnets 被引量:6
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作者 CHEN Wei GONG Peihua +1 位作者 YU Le YANG Geng 《Wuhan University Journal of Natural Sciences》 CAS 2013年第5期427-434,共8页
The mobile botnet, developed from the traditional PC-based botnets, has become a practical underlying trend. In this paper, we design a mobile botnet, which exploits a novel command and control (CC) strategy named P... The mobile botnet, developed from the traditional PC-based botnets, has become a practical underlying trend. In this paper, we design a mobile botnet, which exploits a novel command and control (CC) strategy named Push-Styled CC. It utilizes Google cloud messaging (GCM) service as the botnet channel. Compared with traditional botnet, Push-Styled CC avoids direct communications between botmasters and bots, which makes mobile botnets more stealthy and resilient. Since mobile devices users are sensitive to battery power and traffic consumption, Push- Styled botnet also applies adaptive network connection strategy to reduce traffic consumption and cost. To prove the efficacy of our design, we implemented the prototype of Push-Style CC in Android. The experiment results show that botnet traffic can be concealed in legal GCM traffic with low traffic cost. 展开更多
关键词 mobile botnet push style Google cloud messaging (GCM) adaptive connection
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