GEOMETRIC STRUCTURES ON PATH SPACES

DOI10.1142/S0219887811005786zbMath1248.46051MaRDI QIDQ2893168

Indranil Biswas, Saikat Chatterjee

Publication date: 26 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

path spaceKähler formgeneralized complex structure

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Almost complex manifolds (32Q60) Manifolds of mappings (46T10)

Related Items (3)

ALMOST COMPLEX STRUCTURE ON PATH SPACE ⋮ Geodesics on path spaces and double category ⋮ Geometric prequantization on the path space of a prequantized manifold

Cites Work

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• Geometric structures on loop and path spaces
• Complex analytic coordinates in almost complex manifolds
• Symplectic geometry of the loop space of a Riemannian manifold
• Iterated integrals of differential forms and loop space homology
• PARALLEL TRANSPORT OVER PATH SPACES
• NEGATIVE FORMS AND PATH SPACE FORMS
• Iterated path integrals
• The Ricci curvature of Diff S1/SL(2, R)

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