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20132024
most citedWeyl's law for the eigenvalues of the Neumann--Poincaré operators in three dimensions: Willmore energy and surface geometry

17 citations · 70 across the 20 of their papers we have counts for

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math-ph2024

Circle Foliations Revisited: Periods of Flows whose Orbits are all Closed

Yoshihisa Miyanishi

Our purpose here is to adapt the results of Geodesic circle foliations for Reeb flows or Hamiltonian flows on contact manifolds. Consequently, all periods are exactly the same if t…

math-ph2015

Notes on Feynman path integral-like methods of quantization on Riemannian manifolds

Yoshihisa Miyanishi

We propose an alternative method for Feynman path integrals on compact Riemannian manifolds. Our method employs action integrals along the shortest paths. In the case of rank 1 loc…

math-ph2013★ 1 cited

Remarks on low-energy approximations for Feynman path integration on the sphere

Yoshihisa Miyanishi

We shall define the oscillatory integrals by action integrals, Van Vleck determinant and Dewitt curvature. Our method employs action integrals along the shortest paths. We have the…