Finite groups generated in low real codimension
Sign Up to like & getrecommendations! Published in 2019 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2019.01.004
Abstract: We study the intersection lattice of the arrangement $\mathcal{A}^G$ of subspaces fixed by subgroups of a finite linear group $G$. When $G$ is a reflection group, this arrangement is precisely the hyperplane reflection arrangement of… read more here.
Keywords: codimension; real codimension; codimension two; arrangement ... See more keywords
ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972720000179
Abstract: We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find conditions on the second fundamental form that characterise the shrinking sphere among compact ancient solutions for the mean curvature… read more here.
Keywords: surfaces curvature; two surfaces; solutions codimension; ancient solutions ... See more keywords
ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING – RETRACTION
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000022
Abstract: [1] C. Baker and H. T. Nguyen, ‘Codimension two surfaces pinched by normal curvature evolving by mean curvature flow’, Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), 1599–1610. [2] Z. Ji, ‘Ancient solutions of… read more here.
Keywords: two surfaces; curvature pinching; solutions codimension; ancient solutions ... See more keywords
On codimension two embeddings up to link‐homotopy
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Topology"
DOI: 10.1112/topo.12041
Abstract: We consider knotted annuli in 4–space, called 2–string-links, which are knotted surfaces in codi-mension two that are naturally related, via closure operations, to both 2–links and 2–torus links. We classify 2–string-links up to link-homotopy by… read more here.
Keywords: string links; codimension two; link homotopy; two embeddings ... See more keywords
The Structure of Lorentzian Foliations of Codimension Two
Sign Up to like & getrecommendations! Published in 2020 at "Russian Mathematics"
DOI: 10.3103/s1066369x20110079
Abstract: The aim of the paper is to describe the structure of complete Lorentzian foliations $(M, F)$ of codimension two on n-dimensional closed manifolds. We prove that a foliation $(M, F)$ is either Riemannian or of… read more here.
Keywords: lorentzian foliations; foliations codimension; codimension two; chaos problem ... See more keywords