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MINIMAL FOLIATIONS FOR THE HIGH-DIMENSIONAL FRENKEL-KONTOROVA MODEL: 《Acta Mathematica Scientia》2023年第2期564-582,共19页缪雪晴葛建华秦文新王亚南; supported by the National Natural Science Foundation of China(11701298)。; For the high-dimensional Frenkel-Kontorova(FK)model on lattices,we study the existence of minimal foliations by depinning force.We introduce the tilted gradient flow and define the depinning force as the critical valu...; 关键词：Aubry-Mather theory Frenkel-Kontorova model minimal foliation depinning force gradient flow

Formation of Foliations and their Related Minerals from Diagenetic to Medium-grade Metamorphic Rocks:A Case Study of the Hongyanjing and Liao-Ji Backarc Basins,China被引量：1: 《Acta Geologica Sinica(English Edition)》2021年第4期1158-1170,共13页TIAN Zhonghua WEN Fei LIU Fulai ZHU Haozhong YE Zhanghuang; financially supported by the National Natural Science Foundation of China(Grant Nos.92062214,41430210 and 41888101);the NSFC Regional Science Foundation(Grant No.41962012);the Scientific Program of Jiangxi Educational Committee(Grant No.GJJ190586);the Chinese Geological Survey projects(Grant No.DD20190003);the Strategic Priority Research Program(B)of the Chinese Academy of Sciences(CAS)(Grant No.XDB18020203);the Basic Scientific Research Foundations of the Institute of Geology,Chinese Academy of Geological Sciences(Grant No.J2030,J2009)。; Deciphering the relationship between polyphase tectonic foliations and their associated mineral assemblages is significant in understanding the process from diagenesis to low-/medium-/high-grade metamorphism.It can pr...; 关键词：new classification of foliations mineral transformation OROGENESIS Hongyanjing basin Liao-Ji backarc basin

Smoothness of invariant manifolds and foliations for in nite dimensional random dynamical systems--Dedicated to Professor Shantao Liao: 《Science China Mathematics》2020年第9期1877-1912,共36页Jun Shen Kening Lu Weinian Zhang; This work was supported by National Natural Science Foundation of China(Grant Nos.11501549,11331007,11971330,11771307,11831012 and 11726623);the Fundamental Research Funds for the Central Universities(Grant No.YJ201646).; In this paper,we investigate the smoothness of invariant manifolds and foliations for random dynamical systems with nonuniform pseudo-hyperbolicity in Hilbert spaces.We discuss on the effect of temperedness and the sp...; 关键词：random dynamical system invariant manifold invariant foliation pseudo-hyperbolicity MEASURABILITY

Erratum to:Foliations associated to harmonic maps on some complex two ball quotients: 《Science China Mathematics》2020年第8期1645-1645,共1页Sai-Kee Yeung; In[Y,p.1146,1.35],it is stated that"PR#T2 has a two-fold cover that is T2".This is a mistake.As a result,[Y,Theorem 4.2]should be corrected as follows.The numbering of the references follows[Y].Theorem 4.2.Let M be a ...; 关键词：surface. QUOTIENT HARMONIC

Foliations associated to harmonic maps on some complex two ball quotients被引量：1: 《Science China Mathematics》2017年第6期1137-1148,共12页YEUNG Sai-Kee; supported by the National Science Foundation of USA(Grant No.DMS1501282; This article is an attempt to understand harmonic and holomorphic maps between two bounded symmetric domains in special situations. We study foliations associated to a lattice-equivariant harmonic map of small rank fr...; 关键词：harmonic maps FOLIATIONS RIGIDITY

A class of metrics and foliations on tangent bundle of Finsler manifolds: 《Frontiers of Mathematics in China》2017年第2期417-439,共23页Hongchuan XIA Chunping ZHONG; Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11271304, 11671330, 11571288） and the Nanhu Scholars Program for Young Scholars of Xinyang Normal University.; Let （M, F） be a Finsler manifold, and let TMo be the slit tangent bundle of M with a generalized Riemannian metric G, which is induced by F. In this paper, we extract many natural foliations of （TMo, G） and study ...; 关键词：Finsler manifold FOLIATION constant flag curvature Vaismanconnection

Contrast of Perspectives of Coherency: 《Journal of Applied Mathematics and Physics》2015年第7期781-791,共11页Tian Ma Erik Bollt; Mixing and coherence are fundamental issues at the heart of understanding fluid dynamics and other non-autonomous dynamical systems. Recently the notion of coherence has come to a more rigorous footing, in particular,...; 关键词：Shape COHERENT Set COHERENT Pairs GEODESIC TRANSPORT Barrier Finite-Time Stable and Unstable FOLIATIONS Implicit Function Theorem CONTINUATION Mixing TRANSPORT

Directions of Valley Axes in Relationship to Geological Structure-Element Orientation in the Stribrne Hory Area in the Bohemian-Moravian Uplands （Czech Republic）: 《Journal of Geodesy and Geomatics Engineering》2015年第2期82-86,共5页Jan Jurcek Rostislav Melichar; The purpose of this paper is to evaluate control of orientation of foliations and joints on the direction of valley axes in the Stribrne Hory area in the Bohemian-Moravian Highlands in central part of the Czech Republ...; 关键词：Bohemian-Moravian Uplands TECTONICS FOLIATIONS joints valleys.

Laplacians and Spectrum for Singular Foliations: 《Chinese Annals of Mathematics,Series B》2014年第5期679-690,共12页Iakovos ANDROULIDAKIS; supported by a Marie Curie Career Integration Grant(No.FP7-PEOPLE-2011-CIG,No.PCI09-GA-2011-290823);the FCT(Portugal)with European Regional Development Fund(COMPETE);national funds through the project PTDC/MAT/098770/2008; The author surveys Connes' results on the longitudinal Laplace operator along a(regular) foliation and its spectrum, and discusses their generalization to any singular foliation on a compact manifold. Namely, it is pr...; 关键词：LAPLACIAN Singular foliation HOLONOMY

De Sitter Space as a Computational Tool for Surfaces and Foliations: 《American Journal of Computational Mathematics》2013年第1期1-5,共5页Maciej Czarnecki Szymon Walczak; The set of all spheres and hyperplanes in the Euclidean space Rn+1 could be identified with the Sitter space Λn+1. All the conformal properties are invariant by the Lorentz form which is natural pseudo-Riemannian met...; 关键词：De Sitter Space Folation Conformal Geometry

FOLIATIONS