ON GROEBNER BASES AND IMMERSIONS OF GRASSMANN MANIFOLDS G2,n

被引：8
|
作者：
Petrovic, Zoran Z. [1 ]
Prvulovic, Branislav I. [1 ]
机构：
[1] Univ Belgrade, Fac Math, Belgrade, Serbia
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2011年 / 13卷 / 02期
关键词：
Grassmanian; Groebner basis; immersion;
D O I：
10.4310/HHA.2011.v13.n2.a8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Mod 2 cohomology of the Grassmann manifold G(2,n) is a polynomial algebra modulo a certain well-known ideal. A Groebner basis for this ideal is obtained. Using this basis, some new immersion results for Grassmannians G(2,n) are established.
引用
收藏
页码：113 / 128
页数：16
相关论文
共 50 条
  • [31] NORMAL VECTOR FIELDS OF IMMERSIONS OF n-MANIFOLDS IN (2n—1)-MANIFOLDS
    李邦河
    Science China Mathematics, 1988, (01) : 31 - 45
  • [32] IMMERSIONS OF G-MANIFOLDS G-FINITE
    WELLS, GS
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (01) : 130 - &
  • [33] M-theory and G2 manifolds
    Becker, Katrin
    Becker, Melanie
    Robbins, Daniel
    PHYSICA SCRIPTA, 2015, 90 (11)
  • [34] Minimal hypersurfaces in nearly G2 manifolds
    Dwivedi, Shubham
    JOURNAL OF GEOMETRY AND PHYSICS, 2019, 135 : 253 - 264
  • [35] Deformation theory of nearly G2 manifolds
    Dwivedi, Shubham
    Singhal, Ragini
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023, 31 (03) : 677 - 729
  • [36] Fivebranes and resolved deformed G2 manifolds
    Jérôme Gaillard
    Dario Martelli
    Journal of High Energy Physics, 2011
  • [37] On G2 Manifolds with Cohomogeneity Two Symmetry
    Aslan, Benjamin
    Trinca, Federico
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2024, 405 (07)
  • [38] Tops as building blocks for G2 manifolds
    Andreas P. Braun
    Journal of High Energy Physics, 2017
  • [39] Fivebranes and resolved deformed G2 manifolds
    Gaillard, Jerome
    Martelli, Dario
    JOURNAL OF HIGH ENERGY PHYSICS, 2011, (05):
  • [40] Tops as building blocks for G2 manifolds
    Braun, Andreas P.
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (10):
12345