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Singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space 被引量:9
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作者 KONG LingLing PEI DongHe 《Science China Mathematics》 SCIE 2008年第2期241-249,共9页
We study the singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space through their contact with hyperplanes.
关键词 timelike hypersurface de Sitter Gauss map timelike height function 53A35 58C27
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Special relativity and theory of gravity via maximum symmetry and localization 被引量:3
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作者 GUO HanYing Institute of Theoretical Physics Chinese Academy of Sciences +1 位作者 Beijing 100080 China 《Science China Mathematics》 SCIE 2008年第4期568-603,共36页
Like Euclid, Riemann and Lobachevski geometries are on an almost equal footing, based on the principle of relativity of maximum symmetry proposed by Professor Lu Qikeng and the postulate on invariant universal constan... Like Euclid, Riemann and Lobachevski geometries are on an almost equal footing, based on the principle of relativity of maximum symmetry proposed by Professor Lu Qikeng and the postulate on invariant universal constants c and R, the de Sitter/anti-de Sitter (dS/AdS) special relativity on dS/AdS-space with radius R can be set up on an almost equal footing with Einstein’s special relativity on the Minkowski-space in the case of R→∞.Thus the dS-space is coin-like: a law of inertia in Beltrami atlas with Beltrami time simultaneity for the principle of relativity on one side, and the proper-time simultaneity and a Robertson-Walker-like dS-space with entropy and an accelerated expanding S 3 fitting the cosmological principle on another side.If our universe is asymptotic to the Robertson-Walker-like dS-space of R ? (3/Λ)1/2, it should be slightly closed in O(Λ) with entropy bound S ? 3πc 3 k B /ΛG?. Contrarily, via its asymptotic behavior, it can fix on Beltrami inertial frames without ‘an argument in a circle’ and acts as the origin of inertia.There is a triality of conformal extensions of three kinds of special relativity and their null physics on the projective boundary of a 5-d AdS-space, a null cone modulo projective equivalence [ $ \mathcal{N} $ ] ? ? P (AdS 5). Thus there should be a dS-space on the boundary of S 5 × AdS 5 as a vacuum of supergravity.In the light of Einstein’s ‘Galilean regions’, gravity should be based on the localized principle of relativity of full maximum symmetry with a gauge-like dynamics. Thus, this may lead to the theory of gravity of corresponding local symmetry. A simple model of dS-gravity characterized by a dimensionless constant g ?(ΛG?/3c 3)1/2 ~ 10?61 shows the features on umbilical manifolds of local dS-invariance. Some gravitational effects out of general relativity may play a role as dark matter.The dark universe and its asymptotic behavior may already indicate that the dS special relativity and dS-gravity be the foundation of large scale physics. 展开更多
关键词 special relativity de Sitter invariance GRAVITY local de Sitter invariance umbilical manifold 83A05 83D05 53A35 53B50
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Elastic line deformed on a pseudo-hypersurface by an external field in pseudo-Euclidean spaces
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作者 YCESAN Ahmet KEN A.Ceylan 《Science China Mathematics》 SCIE 2008年第2期233-240,共8页
We derive intrinsic formulation for elastic line deformed on a pseudo-hypersurface by an external field in the pseudo-Euclidean spaces E_v^n.This formulation determines elastic line deformed on a pseudo-hypersurface.
关键词 elastic line pseudo-Euclidean spaces intrinsic formulation external field 53A35 53B30 74M30
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变迁与重构:土家族打溜子传统文本与现代演绎
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作者 陈东 《贵州民族研究》 CSSCI 北大核心 2015年第9期79-82,共4页
土家族打溜子,土家语称之为"jia55 xuo53 xa21",是深受土家民众喜爱的一种古老的传统音乐艺术。由于打溜子的传统文本在现代演绎过程中存在着"实际的以往"和"想象的以往"两个层面的特点,因此在传统文本... 土家族打溜子,土家语称之为"jia55 xuo53 xa21",是深受土家民众喜爱的一种古老的传统音乐艺术。由于打溜子的传统文本在现代演绎过程中存在着"实际的以往"和"想象的以往"两个层面的特点,因此在传统文本的实际演奏过程中,在演奏技法上又有相应的变化和丰富。 展开更多
关键词 土家族打溜子 传统文本 现代演绎
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