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Geometric structures invariant to symmetries
symmetric spaces geometric structures Cartan geometries parabolic geometries homogeneous spaces extension functors
2012/7/11
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Ca...
Higher Symmetries of the Laplacian via Quantization
Symmetry algebra Laplacian Quantization Conformal geometry Minimal nilpotent orbit
2011/9/22
Abstract: We develop a new approach, based on quantization methods, to study higher symmetries of invariant differential operators. We focus here on conformally invariant powers of the Laplacian over ...
In this paper, we investigate the group-invariant solutions of the hyperbolic geometric flow on Riemann surfaces bythe application of Lie groups in differential equations, including solutions of separ...
Fluctuations arise universally in Nature as a re ection of the discrete microscopic world at the macroscopic level. Despite their apparent noisy origin, uctuations encode fundamental aspects of the ph...