Results 121 to 130 of about 548,689 (195)
Topological and geometric rigidity of nonnegatively curved submanifolds
Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
wiley +1 more source
Geometric spectral properties of electromagnetic waveguides
Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
wiley +1 more source
Mixed motives and linear forms in the Catalan constant
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source
The Poincaré—Mittag-Leffler Relationship
International audiencePrésentation de la correspondance entre Henri Poincaré et Gösta Mittag ...
Nabonnand, Philippe
core +1 more source
Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points
Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
wiley +1 more source
Complementary legs and symplectic rational balls
Abstract We show that a small Seifert fibered space with complementary legs does not symplectically bound a rational homology ball for at least one choice of orientation. In the case e0⩽−1$e_0\leqslant -1$, we characterize when a small Seifert fibered space with uniquely complementary legs symplectically bounds a rational homology ball.
John B. Etnyre +2 more
wiley +1 more source
A Higher-order poincaré ellipsoid representation for non-cylindrical vector beams
The Higher-Order Poincaré Sphere (HOPS) provides a powerful geometrical tool for representing vector beams as points on the surface of a unitary sphere. Since a particular position on the surface represents any spatial mode regardless of its shape, this ...
Dayver Daza-Salgado +4 more
doaj +1 more source
On the detection of knots by their traces in high dimensions
Abstract For every n⩾4$n\geqslant 4$, we demonstrate the existence of non‐isotopic, smooth (n−2)$(n-2)$‐knots in Sn$S^n$ with diffeomorphic traces. We give two proofs: the first by generalising the RBG link construction to all dimensions, and the second as an application of work of Plotnick.
Valentina Bais +10 more
wiley +1 more source
The Jones vector as a spinor and its representation on the Poincaré sphere
Se muestra que las dos componentes Cartesianas complejas del campo eléctrico de una onda plana electromágnetica monocromática, con dependencia temporal y espacial de la forma ei(kz-wt), forma un espinor SU(2) que corresponde al vector tangente a la ...
Rubalcava García, I. +1 more
core
Abstract figure legend Time‐resolved estimation of cardiac rhythmicity parameters. A pipeline is shown for the estimation of the fluctuating cardiac parameters, based on the Poincaré plot. The Poincaré plot illustrates the successive changes in interbeat intervals (IBI).
Diego Candia‐Rivera +3 more
wiley +1 more source

