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GEODESIC: 作品数：109被引量：59H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：孙进平相桂芳詹曙王艳王卫星更多>>; 相关机构：北京航空航天大学杭州创新研究院北京航空航天大学合肥工业大学伦敦大学学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金安徽省自然科学基金更多>>

Dirac-geodesics with curvature term: 《Science China Mathematics》2025年第2期433-446,共14页Qun Chen Mingwei Zhang; Dirac-geodesics with curvature term are Dirac-harmonic maps with curvature term from onedimensional domains. In this paper, we first describe the structure of Dirac-geodesics with curvature term in surfaces and give s...; 关键词：Dirac-geodesic Dirac-harmonic map CURVATURE heat flow existence

Principal Equatorial Null Geodesic Congruences in the Kerr Metric, and Their Quantum Propagators: 《Journal of High Energy Physics, Gravitation and Cosmology》2024年第3期906-917,共12页Josué G. Mateos Trujillo Miguel Socolovsky; Using the Raychaudhuri equation, we associate quantum probability amplitudes (propagators) to equatorial principal ingoing and outgoing null geodesic congruences in the Kerr metric. The expansion scalars diverge at th...; 关键词：Kerr Metric Principal Null Geodesics PROPAGATORS

Analytical solutions of equatorial geodesic motion in Kerr spacetime: 《Chinese Physics C》2024年第4期222-239,共18页刘岩孙兵; the Natural Science Foundation of Shandong Province(ZR2023QA133);Yantai University(WL22B218);B.S.is Supported by the National Natural Science Foundation of China(12375046);Beijing University of Agriculture(QJKC-2023032).; The study of Kerr geodesics has a long history,particularly for those occurring within the equatorial plane,which are generally well-understood.However,when compared with the classification introduced by one of the au...; 关键词：geodesic motion analytical solutions equatorial plane Kerr spacetime

凸复Finsler流形上的Hopf-Rinow定理: 《Chinese Quarterly Journal of Mathematics》2024年第1期31-45,共15页李鸿军; Supported by the National Natural Science Foundation of China(Grant No.12001165).; Suppose(M,F) is a convex complex Finsler manifold. We prove that geodesics of(M,F) are locally minimizing. Hence, F introduces a distance function d such that(M,d) is a metric space from topology. Next, we prove the c...; 关键词：GEODESIC Distance function Hopf-Rinow Theorem

An efficient algorithm for approximate Voronoi diagram construction on triangulated surfaces被引量：1: 《Computational Visual Media》2023年第3期443-459,共17页Wenlong Meng Pengbo Bo Xiaodong Zhang Jixiang Hong Shiqing Xin Changhe Tu; supported in part by the Youth Teacher Development Foundation of Harbin Institute of Technology(IDGA10002143);the National Natural Science Foundation of China(62072139,62272277,62072284);the National Key R&D Program of China(2021YFB1715900);the Joint Funds of the National Natural Science Foundation of China(U22A2033).; Voronoi diagrams on triangulated surfaces based on the geodesic metric play a key role in many applications of computer graphics.Previous methods of constructing such Voronoi diagrams generally depended on having an e...; 关键词：geodesic Voronoi diagrams(GVDs) triangular surfaces mesh surfaces approximate geodesics Apollonius diagrams

A Spectral Segmentation Method for Large Meshes: 《Communications in Mathematics and Statistics》2023年第3期583-607,共25页Xiaohan Bao Weihua Tong Falai Chen; supported by the National Natural Science Foundation of China(Nos.61877056,61972368);the Anhui Provincial Natural Science Foundation,PR China(No.1908085QA11).; Mesh segmentation is a fundamental and critical task in mesh processing,and it has been studied extensively in computer graphics and geometric modeling communities.However,current methods are not well suited for segme...; 关键词：Mesh segmentation Spectral method Progressive mesh Feature-aware simplification Geodesic curvature flow

基于改进的Hessian和Live-wire算法的岩石节理裂隙检测被引量：1: 《金属矿山》2023年第8期265-271,共7页王艳李晗陈佳悦陈卫卫王梦菲闫迪李宏霞王卫星; 西安航空职业技术学院2022年度校级教育教学改革研究项目(编号:22XHJG14,22XHJG19)。; 在图像处理中,由于岩石节理裂隙是最复杂的线状目标之一,针对该对象的检测算法的研究一直是一个难题。故此,研究了一种新的跟踪裂隙边缘线的算法。首先,若图像尺寸太大,进行有选择的图像缩小,然后采用基于Geodesic Shadow Removal的算...; 关键词：岩石节理裂隙 Live-wire Geodesic shadow HESSIAN

Geodesic γ-Pre-E-Convex Functions on Riemannian Manifolds: 《Journal of Mathematical Research with Applications》2023年第3期324-334,共11页Seema MEENA D.B.OJHA; In this paper, we generalize geodesic E-convex function and define geodesic γ-pre-E-convex and geodesic γ-E-convex functions on Riemannian manifolds. The sufficient condition of equivalence class of geodesic γ-pre-...; 关键词：geodesic E-convex set geodesicγ-pre-E-convex function geodesicγ-E-convex function optimality conditions

Geodesic metrics on fractals and applications to heat kernel estimates: 《Science China Mathematics》2023年第5期907-934,共28页Qingsong Gu Ka-Sing Lau Hua Qiu Huo-Jun Ruan; supported by National Natural Science Foundation of China(Grant Nos.12101303 and 12171354);supported by National Natural Science Foundation of China(Grant No.12071213);supported by National Natural Science Foundation of China(Grant No.11771391);supported by the Hong Kong Research Grant Council;the Natural Science Foundation of Jiangsu Province in China(Grant No.BK20211142);Zhejiang Provincial National Science Foundation of China(Grant No.LY22A010023);the Fundamental Research Funds for the Central Universities of China(Grant No.2021FZZX001-01)。; It is well known that for a Brownian motion, if we change the medium to be inhomogeneous by a measure μ, then the new motion(the time-changed process) will diffuse according to a different metric D(·, ·).In 2009, K...; 关键词：Brownian motion heat kernel metric chain condition nested fractal quasisymmetry resistance metric Sierpinski carpet weight function

Left-Invariant Minimal Unit Vector Fields on the Solvable Lie Group: 《Chinese Annals of Mathematics,Series B》2023年第1期67-80,共14页Shaoxiang ZHANG Ju TAN; supported by the National Natural Science Foundation of China (Nos. 12001007,12201358);the Natural Science Foundation of Shandong Province (No. ZR2021QA051);the Natural Science Foundation of Anhui Province (No. 1908085QA03);Starting Research Funds of Shandong University of Science and Technology (Nos. 0104060511817, 0104060540626); Bozek(1980)has introduced a class of solvable Lie groups Gn with arbitrary odd dimension to construct irreducible generalized symmetric Riemannian space such that the identity component of its full isometry group is s...; 关键词：Solvable Lie groups Lagrangian multiplier method Minimal unit vector fields Geodesic vector fields Strongly normal unit vectors

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