p-Dirac Operators

被引：21
|
作者：
Nolder, Craig A. [1 ]
Ryan, John [2 ]
机构：
[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA
[2] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2009年 / 19卷 / 02期
关键词：
p-Dirac equation; p-harmonic equation; spin manifolds; conformal structure; Dirac operators;
D O I：
10.1007/s00006-009-0162-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce non-linear Dirac operators in R-n associated to the p-harmonic equation and we extend to other contexts including spin manifolds and the sphere.
引用
收藏
页码：391 / 402
页数：12
相关论文
共 50 条
  • [11] Perturbations of Dirac operators
    Prokhorenkov, Igor
    Richardson, Ken
    JOURNAL OF GEOMETRY AND PHYSICS, 2006, 57 (01) : 297 - 321
  • [12] On Dirac and Pauli Operators
    Lev V. Zilbergleit
    Acta Applicandae Mathematica, 2002, 74 : 1 - 34
  • [13] Holomorphic functional calculus of Hodge-Dirac operators in L p
    Hytonen, Tuomas
    McIntosh, Alan
    Portal, Pierre
    JOURNAL OF EVOLUTION EQUATIONS, 2011, 11 (01) : 71 - 105
  • [14] Solution of Dirac Equations without Specialization of Dirac Operators
    Sauter, Fritz
    ZEITSCHRIFT FUR PHYSIK, 1930, 63 (11-12): : 803 - 814
  • [15] Lattice calculations on the spectrum of dirac and dirac Kahler operators
    Campos, Rafael G.
    Lopez-Lopez, J. L.
    Vera, R.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (07): : 1029 - 1038
  • [16] Laplace and Dirac operators on graphs
    Casiday, Beata
    Contreras, Ivan
    Meyer, Thomas
    Mi, Sabrina
    Spingarn, Ethan
    LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (02): : 325 - 365
  • [17] Dirac operators on coset spaces
    Balachandran, AP
    Immirzi, G
    Lee, J
    Presnajder, P
    JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (10) : 4713 - 4735
  • [18] ON THE POINT SPECTRUM OF DIRAC OPERATORS
    BERTHIER, AM
    GEORGESCU, V
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1983, 297 (06): : 335 - 338
  • [19] EQUIVARIANT INDEX OF DIRAC OPERATORS
    ONO, K
    TOHOKU MATHEMATICAL JOURNAL, 1990, 42 (03) : 319 - 332
  • [20] Scattering amplitude for Dirac operators
    Brummelhuis, R
    Nourrigat, J
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (1-2) : 377 - 394
12345