Flat connections, geometric invariants and energy of harmonic functions on compact Riemann surfaces

DOI10.1007/BF02840586zbMath0855.58017OpenAlexW2049208491MaRDI QIDQ1901337

Krishnamurthi Guruprasad

Publication date: 11 February 1997

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02840586

zbMATH Keywords

energyharmonic functionscompact Riemann surfacesgeometric invariantsflat connectionPoincaré metricKilling formSU(2)-bundle

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Harmonic maps, etc. (58E20)

Cites Work

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• Flat connections, geometric invariants and the symplectic nature of the fundamental group of surfaces
• Characteristic forms and geometric invariants
• Harmonic maps from a 2-torus to the 3-sphere

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