Results 61 to 70 of about 2,113,538 (360)
Gauss maps of toric varieties [PDF]
Tohoku Mathematical Journal, 2017 We investigate Gauss maps of (not necessarily normal) projective toric varieties over an algebraically closed field of arbitrary characteristic. The main results are as follows: (1) The structure of the Gauss map of a toric variety is described in terms of combinatorics in any characteristic. (2) We give a developability criterion in the toric case. In
Furukawa, Katsuhisa, Ito, Atsushi
openaire +3 more sources
Advanced Functional Materials, EarlyView.HKUST‐1/TiO2 composite materials show a very high photocatalytic hydrogen evolution rate which increases as a function of the irradiation time until reaching a plateau and even surpasses the performance of the 1%Pt/TiO2 material after three photocatalytic cycles.
Alisha Khan +9 more
wiley +1 more source
Metals, 2022 A coupled heat source model that combined a Gauss surface heat source with a Gauss cylindrical volumetric heat source was introduced to simulate temperature field distribution and melt pool characteristics using a finite element simulation (FEM) method ...
Kai Guo +5 more
doaj +1 more source
Harmonic maps and constant mean curvature surfaces in $\H^2 \times \R$ [PDF]
, 2005 We introduce a hyperbolic Gauss map into the Poincare disk for any surface in H^2xR with regular vertical projection, and prove that if the surface has constant mean curvature H=1/2, this hyperbolic Gauss map is harmonic.
Fernandez, Isabel, Mira, Pablo
core +2 more sources
Isothermic Surfaces and the Gauss Map [PDF]
Proceedings of the American Mathematical Society, 1988 We give a necessary and sufficient condition for the Gauss map of an immersed surface M M in n n -space to arise simultaneously as the Gauss map of an anti-conformal immersion of M M into the same space.
openaire +2 more sources
Advanced Functional Materials, EarlyView.This review highlights how machine learning (ML) algorithms are employed to enhance sensor performance, focusing on gas and physical sensors such as haptic and strain devices. By addressing current bottlenecks and enabling simultaneous improvement of multiple metrics, these approaches pave the way toward next‐generation, real‐world sensor applications.
Kichul Lee +17 more
wiley +1 more source
Differential Geometry of Identity Maps: A Survey
Mathematics, 2020 An identity map idM:M→M is a bijective map from a manifold M onto itself which carries each point of M return to the same point. To study the differential geometry of an identity map idM:M→M, we usually assume that the domain M and the range M admit ...
Bang-Yen Chen
doaj +1 more source
RULED SUBMANIFOLDS WITH HARMONIC GAUSS MAP
Taiwanese Journal of Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Dong-Soo +2 more
openaire +3 more sources
Quantum‐Grade Nanodiamonds from a Single‐Step, Industrial‐Scale Pressure and Temperature Process
Advanced Functional Materials, EarlyView.Novel method for creation of nitrogen‐vacancy centers in 50‐nm nanodiamonds based on high‐temperature plastic deformation is demonstrated. Compared to the electron irradiation approach, it yields nitrogen‐vacancy centers with significantly improved charge stability, T1 relaxation time, and optical Rabi contrast.
Yahua Bao +17 more
wiley +1 more source
The Generalized Gauss Map and Applications
Rocky Mountain Journal of Mathematics, 1993 The authors define a Gauss map for hypersurfaces in a Riemannian parallelizable manifold and study its properties. Applying these results they generalize some classical results of Differential Geometry.
Ripoll, Jaime B., Sebastiani, Marcos
openaire +2 more sources