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  • 1 Department of Mathematics, University of Texas, Edinburg, TX, 78541-2999, USA
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Abstract

The Hodge–de Rham Theorem is introduced and discussed. This result has implications for the general study of several partial differential equations. Some propositions which have applications to the proof of this theorem are used to study some related results concerning a class of partial differential equation in a novel way.

  • [1] Goldberg, S. 1970 Curvature and Homology Dover NY.

  • [2] Morita, S. 2001 Geometry of Differential Forms AMS Translations of Mathematical Monographs 209 Providence, RI.

  • [3] Chern, S. S. 1951 Topics in Differential Geometry Institute for Advanced Study Notes.

  • [4] Chern, S. S., Chen, W. H., Lam, K. S. 1999 Lecture Notes on Differential Geometry University Mathematics 1 World Scientific Singapore.

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  • [5] Warner, F. 1983 Foundations of Differentiable Manifolds and Lie Groups Springer NY.

  • [6] Rham de, G. 1955 Variétés Differentiables Hermann.

Acta Mathematica Hungarica
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  • Impact Factor (2019): 0.588
  • Scimago Journal Rank (2019): 0.489
  • SJR Hirsch-Index (2019): 38
  • SJR Quartile Score (2019): Q2 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.538
  • Scimago Journal Rank (2018): 0.488
  • SJR Hirsch-Index (2018): 36
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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