Abstract:
An intertwining relation between the Beltrami–Laplace operator with an added potential and the Beltrami–Laplace operator is considered on a Riemannian manifold. It is shown that the potential singularities of codimension one form completely geodesic hypersurfaces.
This publication is cited in the following 4 articles:
S. E. Parkhomenko, “Free-field representation of permutation branes in Gepner models”, J. Exp. Theor. Phys., 102:6 (2006), 902
M. V. Feigin, “Intertwining Relations for the Spherical Parts of Generalized Calogero Operators”, Theoret. and Math. Phys., 135:1 (2003), 497–509
Ferapontov, EV, “Integrable Schrodinger operators with magnetic fields: Factorization method on curved surfaces”, Journal of Mathematical Physics, 42:2 (2001), 590
Berest, Y, “On the structure of singularities of integrable Schrodinger operators”, Letters in Mathematical Physics, 52:2 (2000), 103