Results 21 to 30 of about 157 (127)
bk$b^k$‐Algebroids and the variety of foliation jets
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
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Isotropic submanifolds in a Euclidean space
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1986 In this paper the following theorem is proved. Let M be an m-dimensional Riemannian manifold isotropically immersed in \(E^ n\). If the Gauss map \(\Gamma\) is conformal and the image \(\Gamma\) (M) is totally umbilical in the Grassmann manifold G(m,n-m), then M is a minimal and isotropic submanifold in a hypersphere \(S^{n-1}\) of \(E^ n\) with ...
openaire +2 more sources
Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract The Fourier restriction conjecture is a fundamental problem in harmonic analysis. In this paper, we investigate restriction estimates for degenerate higher codimensional quadratic surfaces and obtain sharp results for some types of degenerate cases.
Zhenbin Cao, Changxing Miao, Yixuan Pang
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Crystal Anisotropy Implications on the Magneto‐Optical Properties of van der Waals FePS3
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Crystal anisotropy in FePS3 due to a distorted FeS6 octahedron results in significant changes in its electronic and optical transitions. For the first time, four emission transitions are revealed with both linear and circular polarization responses down to the monolayer.
Ellenor Geraffy +12 more
wiley +1 more source
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.A new physics‐informed compilation framework bridges the gap between theoretical quantum simulations and noisy NISQ hardware. By combining native qubit placement with adaptive, variational circuit synthesis, this approach drastically reduces circuit depth and circumvents device noise, unlocking high‐fidelity quantum simulations on current processors ...
F. S. Luiz +2 more
wiley +1 more source
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT High‐frequency seismic wave descriptions are essential for fundamental geophysical applications, including earthquake hypocenter location, magnitude estimation, and traveltime–amplitude tomography. These descriptions rely on two coupled PDEs: the eikonal equation (governing traveltimes) and the transport equation (governing amplitudes ...
Ahmet Beyaz +2 more
wiley +1 more source
3-dimensional isotropic submanifolds of spheres
Tsukuba Journal of Mathematics, 1990 In this paper, we study 3-dimensional isotropic submanifolds in spheres. The notion of an isotropic submanifold of an arbitrary Riemannian manifold was firstintroduced by B. O'Neill in [O]i. The basic equations for isotropic submanifolds are recalled in Section 2. Isotropic immersions of submanifolds into spheres have been studied by, amongst others, T.
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A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
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Isotropic minimal submanifolds in a space form
Tsukuba Journal of Mathematics, 1988 The author proves the following: Let M be an n-dimensional compact minimal submanifold immersed in a sphere of curvature c. If M is isotropic and the sectional curvature K of M satisfies \(nc/3(n+2)\leq K\leq c,\) then \(K\equiv c\) (i.e., M is totally geodesic) or \(K\equiv nc/2(n+1)\) (i.e., M is a Veronese submanifold of degree 2) or \(K\equiv nc/3 ...
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Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
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