Results 191 to 200 of about 1,130,790 (239)

Lipschitz Stability of Travel Time Data. [PDF]

open access: yesJ Geom Anal
Ilmavirta J   +4 more
europepmc   +1 more source

Spectral asymmetry and Riemannian Geometry.: I

Bulletin of the London Mathematical Society, 1973
In Parts I and II of this paper ((4), (5)) we studied the ‘spectral asymmetry’ of certain elliptic self-adjoint operators arising in Riemannian geometry. More precisely, for any elliptic self-adjoint operator A on a compact manifold we definedwhere λ runs over the eigenvalues of A.
Atiyah, Michael F.   +2 more
openaire   +4 more sources

Riemannian geometry of resonant optical responses

Nature Physics, 2021
The geometry of quantum states is well established as a basis for understanding the response of electronic systems to static electromagnetic fields, as exemplified by the theory of the quantum and anomalous Hall effects.
Jun-Woo Ahn   +3 more
semanticscholar   +1 more source

Riemannian Geometry

Geometry, Topology and Physics, 2018
Mikio Nakahara
semanticscholar   +3 more sources

Riemannian Geometry

Journal of Mathematical Sciences, 2002
The authors present a survey of Riemannian geometry that sketches the main developments in that subject through about 1985; no bibliographic references after that date exist. They begin with historical remarks and brief descriptions of the contributions of Lobachevski, Gauss, Riemann, F. Klein, E. Cartan, Ricci and Levi-Civita.
Trofimov, V. V., Fomenko, A. T.
openaire   +1 more source

Extended Riemannian Geometry I: Local Double Field Theory

Annales de l'Institute Henri Poincare. Physique theorique, 2016
We present an extended version of Riemannian geometry suitable for the description of current formulations of double field theory (DFT). This framework is based on graded manifolds, and it yields extended notions of symmetries, dynamical data and ...
Andreas Deser, Christian Sämann
semanticscholar   +1 more source

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