Geodesics on path spaces and double category

DOI10.1142/S0219887815501285zbMath1335.53051arXiv1401.4179OpenAlexW1830290559MaRDI QIDQ5744175

Saikat Chatterjee

Publication date: 17 February 2016

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

Full work available at URL: https://arxiv.org/abs/1401.4179

zbMATH Keywords

geodesicspath spacenormal neighborhooddouble categoryback-track equivalence

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Methods of local Riemannian geometry (53B21)

Cites Work

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• The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
• Good coverings for section spaces of fibre bundles
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Symplectic geometry of the loop space of a Riemannian manifold
• GEOMETRIC STRUCTURES ON PATH SPACES
• PARALLEL TRANSPORT OVER PATH SPACES
• Two-dimensional Markovian holonomy fields
• ALMOST COMPLEX STRUCTURE ON PATH SPACE

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