Results 1 to 10 of about 1,107,821 (189)

Families of Gauss indicatrices on Lorentzian hypersurfaces in pseudo-spheres in semi-Euclidean 4-space

open access: yesJournal of Mathematical Analysis and Applications, 2013
Abstract We consider the one-parameter families of Gauss indicatrices on Lorentzian hypersurfaces in pseudo-spheres in semi-Euclidean 4-space with index 2 and give the types of singularities of the Lorentzian hypersurfaces by the contact theory.
Donghe Pei
exaly   +3 more sources

The geometrical properties of the Smarandache curves on 3-dimension pseudo-spheres generated by null curves

open access: yesAIMS Mathematics
In this paper, we presented the geometrical properties of Smarandache curves on 3-pseudo-spheres. These curves were examined in the context of the lightcone, de Sitter space, and anti-de Sitter space. By leveraging the curvature relationships between the
Huina Zhang, Yanping Zhao, Jianguo Sun
exaly   +4 more sources

The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2020
We characterize the symmetry algebra of the generic superintegrable system on a pseudo-sphere corresponding to the homogeneous space SO(p, q + 1)/SO(p, q) where p+q=N, N∈N. These symmetries occur both in quantum as well as in classical systems in various
Ş. Kuru, I. Marquette, J. Negro
semanticscholar   +6 more sources

On the twistor space of pseudo-spheres☆ [PDF]

open access: yesDifferential Geometry and its Applications, 2005
We give a proof that the sphere S 6 does not admit an integrable orthogonal complex structure using simple differential geometric methods. This appears as a corollary of a general analogous result concerning pseudo-spheres.
R. Albuquerque, Isabel M. C. Salavessa
semanticscholar   +4 more sources

Spacelike parallels and evolutes in Minkowski pseudo-spheres

open access: yesJournal of Geometry and Physics, 2007
The authors describe some results of the project constructing the extrinsic dif\-fe\-ren\-ti\-al geometry on submanifolds of Minkowski pseudo-spheres (hyperbolic space, de Sitter space and the lightcone). The authors review classification results on totally umbilic space-like hypersurfaces in pseudo-spheres.
Masatomo Takahashi, Shyuichi Izumiya
exaly   +6 more sources

The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces [PDF]

open access: yesJournal of Singularities, 2009
Using the Legnedrian duarities between surfaces in pseudo-spheres in Lorentz-{Minkow}{ski} 4-space, we study various kind of flat surfaces in pseudo-spheres. We consider a surface in the pseudo-sphere and its dual surface. Flatness of a surface is defined by the degeneracy of the dual surface similar to the case for the Gauss map of a flat ...
S. Izumiya, K. Saji
semanticscholar   +3 more sources

Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz–Minkowski space

open access: yesTopology and Its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Handan Yildirim, Shyuichi Izumiya
exaly   +6 more sources

A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space

open access: yesProceedings of the Japan Academy Series A: Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang Chen, Shyuichi Izumiya
exaly   +4 more sources

Enhancement of signal-to-noise ratio at a high-order exceptional point of coherent perfect absorption [PDF]

open access: yesNature Communications
Exceptional points (EPs) in non-Hermitian systems offer a remarkably strong response to weak perturbations, but the nonorthogonal nature of the corresponding eigenvectors causes noise to diverge, hindering EPs practical application.
Zi-Qi Wang   +6 more
doaj   +2 more sources

Iridium Oxide Shell Structure on Rutile Titanium Oxide for Efficient Supported Catalyst for the Oxygen Evolution Reaction [PDF]

open access: yesAdvanced Science
Proton exchange membrane water electrolysis is a promising technology for the production of hydrogen via water electrolysis. Lower amounts of iridium oxide are needed at the anode to reduce the cost and precious metal dependence of this technology for ...
Elena Cazzulani   +7 more
doaj   +2 more sources

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