Corpus ID: 119573732

Helmholtz Theorem for Differential Forms in 3-D Euclidean Space

@article{Vargas2014HelmholtzTF,
  title={Helmholtz Theorem for Differential Forms in 3-D Euclidean Space},
  author={J. Vargas},
  journal={arXiv: General Mathematics},
  year={2014}
}
  • J. Vargas
  • Published 2014
  • Mathematics
  • arXiv: General Mathematics
  • There are significant differences between Helmholtz and Hodge's decomposition theorems, but both share a common flavor. This paper is a first step to bring them together. We here produce Helmholtz theorems for differential 1-forms and 2-forms in 3-D Euclidean space. We emphasize their common structure in order to facilitate the understanding of another paper, soon to be made public, where a Helmholtz theorem for arbitrary differential forms in arbitrary Euclidean space is presented and which… CONTINUE READING
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