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A New Approach to Rotational Weingarten Surfaces [PDF]

open access: yesMathematics, 2022
Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface.
Paula Carretero, Ildefonso Castro
doaj   +5 more sources

Rotational energy surfaces of molecules exhibiting internal rotation [PDF]

open access: yesJournal of Chemical Physics, 1994
Rotational energy surfaces [W. G. Harter and C. W. Patterson, J. Chem. Phys. 80, 4241 (1984)] for a molecule with internal rotation are constructed. The study is limited to torsional states at or below the top of the barrier to internal rotation, where the extra (torsional) degree of freedom can be eliminated by expanding eigenvalues of the torsion–K ...
Hougen Jon T
exaly   +3 more sources

Rotational Ricci surfaces

open access: yesAnnali Di Matematica Pura Ed Applicata
Term "free boundary" in Section 4 changed for "meeting the boundary orthogonally". Final version to appear in Ann. Mat.
Iury Domingos, Feliciano Vitorio
exaly   +3 more sources

On Some Weingarten Surfaces in the Special Linear Group SL(2,R)

open access: yesMathematics, 2023
We classify Weingarten conoids in the real special linear group SL(2,R). In particular, there is no linear Weingarten nontrivial conoids in SL(2,R).
Marian Ioan Munteanu
doaj   +1 more source

Rotating surface solitons [PDF]

open access: yesOptics Letters, 2007
We introduce a novel type of surface waves that form at the edge of guiding structures consisting of several concentric rings. Such surface waves rotate steadily upon propagation and, in contrast to nonrotating waves, for high rotation frequencies they do not exhibit power thresholds for their existence. There exists an upper limit for the surface wave
Kartashov, Yaroslav V.   +2 more
openaire   +5 more sources

Polygons on a Rotating Fluid Surface [PDF]

open access: yesPhysical Review Letters, 2006
We report a novel and spectacular instability of a fluid surface in a rotating system. In a flow driven by rotating the bottom plate of a partially filled, stationary cylindrical container, the shape of the free surface can spontaneously break the axial symmetry and assume the form of a polygon rotating rigidly with a speed different from that of the ...
Jansson, Thomas   +4 more
openaire   +4 more sources

The effect of rotational velocity on rotational traction across a range of artificial turf surface systems

open access: yesScientific Reports, 2023
Mechanical testing by sporting governing bodies ensures artificial turf surfaces conform with performance standards. Rotational traction is measured using two equivalent devices: a rotational traction tester (RTT) and a lightweight rotational traction ...
Harry McGowan   +4 more
doaj   +1 more source

A study of the rapid rotator ζ Aql: differential surface rotation?

open access: yesMonthly Notices of the Royal Astronomical Society, 2023
ABSTRACT We report new, extremely precise photopolarimetry of the rapidly-rotating A0 main-sequence star ζ Aql, covering the wavelength range ∼400–900 nm, which reveals a rotationally-induced signal. We model the polarimetry, together with the flux distribution and line profiles, in the framework of Roche geometry with ω-model gravity ...
Ian D Howarth   +3 more
openaire   +4 more sources

Moiré-Pattern Evolution Couples Rotational and Translational Friction at Crystalline Interfaces

open access: yesPhysical Review X, 2022
The sliding motion of objects is typically governed by their friction with the underlying surface. Compared to translational friction, however, rotational friction has received much less attention.
Xin Cao   +6 more
doaj   +1 more source

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