Results 21 to 25 of about 25 (25)
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth
Communications on Pure and Applied Mathematics, Volume 77, Issue 6, Page 3080-3106, June 2024.Abstract On a complete Calabi‐Yau manifold M$M$ with maximal volume growth, a harmonic function with subquadratic polynomial growth is the real part of a holomorphic function. This generalizes a result of Conlon‐Hein. We prove this result by proving a Liouville‐type theorem for harmonic 1‐forms, which follows from a new local L2$L^2$ estimate of the ...
Shih‐Kai Chiu
wiley +1 more source
Soft Kirigami Composites for Form‐Finding of Fully Flexible Deployables
Advanced Materials Technologies, Volume 9, Issue 1, January 8, 2024.A new class of thin flexible structures are introduced that morph from flat into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are coupled: strain mismatch (inspired by biological growth) and kirigami cuts.
Jan Zavodnik +4 more
wiley +1 more source
On Functions of Several Split‐Quaternionic Variables
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 Alesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split‐quaternionic variables and point to some relations with geometry.
Gueo Grantcharov +2 more
wiley +1 more source
Shaping Single Offset Reflector Antennas Using Local Axis‐Displaced Confocal Quadrics
International Journal of Antennas and Propagation, Volume 2016, Issue 1, 2016., 2016 This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a second‐order nonlinear partial differential equation of Monge‐Ampère type, which can be solved as a
Rafael A. Penchel +3 more
wiley +1 more source
Nonlinear Operator Theory and Its Applications
, 2018 Journal of Function Spaces, Volume 2018, Issue 1, 2018.
Juan Martinez-Moreno +4 more
wiley +1 more source