Constructing geometrically equivalent hyperbolic orbifolds
Constructing geometrically equivalent hyperbolic orbifolds
© 2017, Mathematical Sciences Publishers. All rights reserved. We construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant of the well-known Sunada method for constructing length-isospectral Riemannian manifolds that handles totally geodesic submanifolds of multiple codimensions simultaneously.
math.DG, math.GT
math.DG, math.GT
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