Group Invariant Solutions in Mathematical Physics and Differential Geometry

I. M. Anderson; M. E. Fels; C. G. Torre

Group Invariant Solutions in Mathematical Physics and Differential Geometry

数学物理 2007-05-23 v1 广义相对论与量子宇宙学高能物理 - 理论 math.MP

作者: I. M. Anderson , M. E. Fels , C. G. Torre

摘要

This is a brief overview of our work on the theory of group invariant solutions to differential equations. The motivations and applications of this work stem from problems in differential geometry and relativistic field theory. The key feature in our theory is that we allow for non-transverse symmetry group actions, which are very common in applications.

关键词

knot invariants diffeomorphism invariance in gravity gauge invariance

引用

@article{arxiv.math-ph/0101012,
  title  = {Group Invariant Solutions in Mathematical Physics and Differential Geometry},
  author = {I. M. Anderson and M. E. Fels and C. G. Torre},
  journal= {arXiv preprint arXiv:math-ph/0101012},
  year   = {2007}
}

备注

To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages, AMSTeX

Group Invariant Solutions in Mathematical Physics and Differential Geometry

摘要

关键词

引用

备注

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