Results 231 to 240 of about 1,198,709 (262)

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

open access: yesCalc Var Partial Differ Equ
Baudoin F   +3 more
europepmc   +1 more source

Isolated steady solutions of the 3D Euler equations. [PDF]

open access: yesProc Natl Acad Sci U S A
Enciso A, Kepplinger W, Peralta-Salas D.
europepmc   +1 more source

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

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.
M. Atiyah, V. K. Patodi, I. Singer
semanticscholar   +6 more sources

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