The Smolyanov Surface Measure on Trajectories in a Riemannian Manifold

@inproceedings{SIDOROVA2004TheSS,
  title={The Smolyanov Surface Measure on Trajectories in a Riemannian Manifold},
  author={NADEZDA A. SIDOROVA and N. A. Sidorova},
  year={2004}
}
  • NADEZDA A. SIDOROVA, N. A. Sidorova
  • Published 2004
It has been shown in Refs. 2–6 that two natural definitions of surface measures, on the space of continuous paths in a compact Riemannian manifold embedded into Rn, introduced in the paper by Smolyanov are equivalent; this means that there exists a natural object — the surface measure, which we call the Smolyanov surface measure. Moreover, it has been… CONTINUE READING