Results 1 to 10 of about 59,055 (125)
Hilbert transforms and the Cauchy integral in euclidean space [PDF]
, 2009 We generalize the notion of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac system.
Axelsson, Andreas +2 more
core +3 more sources
AI-Powered Approaches for Hypersurface Reconstruction in Multidimensional Spaces
MathematicsThe present article explores the possibilities of using artificial neural networks to solve problems related to reconstructing complex geometric surfaces in Euclidean and pseudo-Euclidean spaces, examining various approaches and techniques for training ...
Kostadin Yotov +3 more
doaj +2 more sources
Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures [PDF]
Mathematische Nachrichten, 2020 AbstractWe classify all rotational surfaces in Euclidean space whose principal curvatures κ1 and κ2 satisfy the linear relation , where a and b are two constants. As a consequence of this classification, we find closed (embedded and not embedded) surfaces and periodic (embedded and not embedded) surfaces with a geometric behaviour similar to Delaunay ...
López, Rafael, Pámpano, Álvaro
openaire +2 more sources
Random-bond Ising model and its dual in hyperbolic spaces. [PDF]
Physical Review E, 2022 We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion techniques.
B. Placke, N. P. Breuckmann
semanticscholar +1 more source
General rotational ξ−surfaces in Euclidean spaces
, 2021 The general rotational surfaces in the Euclidean 4-space R was first studied by Moore (1919). The Vranceanu surfaces are the special examples of these kind of surfaces.
K. Arslan, Yılmaz Aydın, B. Bulca
semanticscholar +1 more source
Learning Neural Operators on Riemannian Manifolds [PDF]
National Science Open, 2023 In Artificial Intelligence (AI) and computational science, learning the mappings between functions (called operators) defined on complex computational domains is a common theoretical challenge.
Gengxiang Chen +5 more
semanticscholar +1 more source
Low-dimensional de Sitter quantum gravity
Journal of High Energy Physics, 2020 We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions.
Jordan Cotler +2 more
doaj +1 more source
Minimisers of a fractional seminorm and nonlocal minimal surfaces [PDF]
, 2020 The recent literature has intensively studied two classes of nonlocal variational problems, namely the ones related to the minimisation of energy functionals that act on functions in suitable Sobolev-Gagliardo spaces, and the ones related to the ...
C. Bucur +3 more
semanticscholar +1 more source
On the Harmonic Evolute Surfaces of Hasimoto Surfaces
Adıyaman University Journal of Science, 2021 In this study, firstly by considering the evolution of a moving space curve, we give some related definitions and some new results about Hasimoto surfaces in Euclidean 3-spaces.
K. Eren, Alev Kelleci Akbay
semanticscholar +1 more source
Mass, Entropy and Holography in Asymptotically de Sitter Spaces [PDF]
, 2001 We propose a novel prescription for computing the boundary stress tensor and charges of asymptotically de Sitter (dS) spacetimes from data at early or late time infinity.
A. Peet +80 more
core +5 more sources