Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
The diameter of a disc filling a loop in the universal covering of a Riemannian manifold may be measured extrinsically using the distance function on the ambient space or intrinsically using the induced length metric on the disc. Correspondingly, the diameter of a van Kampen diagram filling a word t...
Main Authors: | Bridson, M, Riley, T |
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Format: | Journal article |
Published: |
2005
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