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Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures [PDF]

open access: yesMathematische 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

Low-dimensional de Sitter quantum gravity

open access: yesJournal 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

AI-Powered Approaches for Hypersurface Reconstruction in Multidimensional Spaces

open access: yesMathematics
The 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   +1 more source

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