CODIMENSION

作品数:61被引量:66H指数:5
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A New Elliptic Measure on Lower Dimensional Sets
《Acta Mathematica Sinica,English Series》2019年第6期876-902,共27页Guy DAVID Joseph FENEUIL Svitlana MAYBORODA 
partially supported by the ANR,programme blanc GEOMETRYA ANR-12-BS01-0014;the European Community Marie Curie grant MANET 607643 and H2020 grant GHAIA 777822;the Simons Collaborations in MPS grant 601941,GD;supported by the NSF INSPIRE Award DMS1344235;NSF CAREER Award DMS 1220089;the NSF RAISE-TAQ grant DMS 1839077;the Simons Fellowship;the Simons Foundation grant 563916,SM
The recent years have seen a beautiful breakthrough culminating in a comprehensive understanding of certain scale-invariant properties of n-1 dimensional sets across analysis, geometric measure theory, and PDEs. The p...
关键词:ELLIPTIC MEASURE in higher CODIMENSION DEGENERATE ELLIPTIC operators absolute continuity Dahlberg’s theorem DIRICHLET SOLVABILITY 
Codimension-4 Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
《Acta Mathematica Sinica,English Series》2015年第8期1359-1366,共8页Tian Si ZHANG De Ming ZHU 
Supported by NSFC(Grant No.11126097)
The paper studies a codimension-4 resonant homoclinic bifurcation with one orbit flip and two inclination flips, where the resonance takes place in the tangent direction of homoclinic orbit.Local active coordinate sys...
关键词:Orbit flip inclination flip RESONANT homoclinic-doubling bifurcations 
Isometric Immersions of Higher Codimension in to the Product S~κ×H^(n+p-k)
《Acta Mathematica Sinica,English Series》2014年第12期2146-2160,共15页Xing Xiao LI Tian Qun ZHANG 
Supported by NSFC(Grant Nos.11171091,11371018);partially supported by NSF of He'nan Province(Grant No.132300410141)
In this paper,we obtain a sufficient and necessary condition for a simply connected Riemannian manifold(M^n,g) to be isometrically immersed,as a submanifold with codimension p 〉 1,into the product S^k×H^n+p+k of...
关键词:Isometric immersions of higher codimension product structure spheres and hyperboloids 
Para-CR Structures of Codimension 2 on Tangent Bundles in Riemann–Finsler Geometry
《Acta Mathematica Sinica,English Series》2014年第11期1877-1884,共8页Mircea CRASMAREANU Laurian-Ioan PISCORAN 
We determine a 2-codimensional para-CR structure on the slit tangent bundle T0 M of a Finsler manifold(M,F) by imposing a condition regarding the almost paracomplex structure P associated to F when restricted to the...
关键词:Para-CR structure metric framed para-f-structure Finsler geometry scalar flag curvature space form 
Affine Planar Geodesic Immersions with Maximal Codimension
《Acta Mathematica Sinica,English Series》2010年第2期345-352,共8页Pawel WITOWICZ 
Supported by the KBN grant 1 P03A03426
This work gives a classification theorem for affine immersions with planar geodesics in the case where the codimension is maximal. Vrancken classified parallel affine immersions in this case and obtained, among others...
关键词:affine immersion GEODESIC transversal bundle normal section 
Obstruction Theory and Coincidences in Positive Codimension被引量:2
《Acta Mathematica Sinica,English Series》2006年第5期1591-1602,共12页Daciberg GONCALVES Jerzy JEZIERSKI Peter WONG 
This work was conducted in part during October 15-22, 2000 at the Stefan Banach International Mathematical Center at Warsaw and June 24-26, 2001 at the Mathematical Center at Bedlewo, supported by"Research in groups"grants
Let f, g : X→Y be two maps between closed manifolds with dim X ≥ dim Y = n ≥ 3. We study the primary obstruction on(f, g) to deforming f and g to be coincidence free on the n-th skeleton of X. We give examples f...
关键词:Nielsen number Reidemeister number coincidence theory obstruction theory 
Commuting Involutions with Fixed Point Set of Variable Codimension被引量:1
《Acta Mathematica Sinica,English Series》2001年第3期425-430,共6页Yan Ying WANG Zhen De WU Zhao Jing MENG Department of Mathematics,Hebei Normal University,Shijiazhuang 050016.P.R.China E-mail:Wang Yangying@263.net 
HNSF ; BSHJJ
Special generators of the unoriented cobordism ring MO* are constructed to determine some groups Jn,kl1,l2,…,lm of cobordism classes in MOn...
关键词:Indecomposable class Fixed point set Projective space bundle (Z2)k-action 
Unimodal Sequences of Gorenstein Ideals of Codimension 4
《Acta Mathematica Sinica,English Series》1998年第4期563-568,共6页Hyoung J. Ko 
The present studies were supported (in part) by the Basic Science Research Institute Program, BSRI 97-1423, Ministry of Education, Korea
We present Gorenstein ideals of condimension 4 which have unimodal Hilbert functions.
关键词:k-configuration Hilbert function Minimal free resolution Gorenstein ideal of codimension 4 
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