Group contractions and conformal maps in nuclear structure models

Conformal Maps and Minimal Surfaces

Conformal maps and non-reversibility of elliptic area-preserving maps

It has been long observed that area-preserving maps and reversible maps share similar results. This was certainly known to G.D. Birkhoff [5] who showed that these two types of maps have periodic orbits near a general elliptic fixed point. The KAM theory, developed by Kolmogorov-ArnoldMoser for Hamiltonian systems [9], [1] and area preserving maps [15], has also been extended a great deal to rev...

Fake conformal symmetry in conformal cosmological models

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We examine the local conformal invariance (Weyl invariance) in tensor-scalar theories used in recently proposed con...

Experimental Test of Nuclear Magnetization Distribution and Nuclear Structure Models

Conformal Maps and p-Dirichlet Energies

Let Φ : (M1, g1)→ (M2, g2) be a diffeomorphism between Riemannian manifolds and Φ# : D(M2)→ D(M1) the induced pull-back operator. The main theorem of this work is Theorem 4.1 which relates preservation of the p-Dirichlet energies φ 7→ ∫ Mi |dφ| dμi under Φ# to isometric or conformal properties of Φ. More precisely: In case p = n, Φ# preserves the p-Dirichlet energy if and only if Φ is conformal...