Results 11 to 20 of about 233,340 (98)
MINIMAL IMMERSIONS OF SPHERES INTO SPHERES [PDF]
Proceedings of the National Academy of Sciences, 1969 In this paper we announce a qualitative description of an important class of closed n -dimensional submanifolds of the m -dimensional sphere, namely, those which locally minimize the n -area in the same way that geodesics minimize the arc length and are themselves ...
do Carmo, Manfredo Perdigão +1 more
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Transactions of the American Mathematical Society, 2011 Soliton spheres are immersed 2–spheres in the conformal 4–sphereS4=HP1S^4=\mathbb {HP}^1that allow rational, conformal parametrizationsf:CP1→HP1f\colon \mathbb {CP}^1\rightarrow \mathbb {HP}^1obtained via twistor projection and dualization from rational curves inCP2n+1\mathbb {CP}^{2n+1}.
Bohle, Christoph, Peters, G. Paul
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Covering Spheres with Spheres [PDF]
Discrete & Computational Geometry, 2007 11 pages, 1 ...
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The Podleś Spheres Converge to the Sphere
Communications in Mathematical Physics, 2022 34 ...
Konrad Aguilar, Jens Kaad, David Kyed
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Nonparametric Rotations for Sphere-Sphere Regression [PDF]
Journal of the American Statistical Association, 2018 Regression of data represented as points on a hypersphere has traditionally been treated using parametric families of transformations that include the simple rigid rotation as an important, special case. On the other hand, nonparametric methods have generally focused on modeling a scalar response through a spherical predictor by representing the ...
Di Marzio, M, Panzera, A, Taylor, CC
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Sticky surface: sphere–sphere adhesion dynamics
Journal of Biological Dynamics, 2014 We present a multi-scale model to study the attachment of spherical particles with a rigid core, coated with binding ligands and in equilibrium with the surrounding, quiescent fluid medium. This class of fluid-immersed adhesion is widespread in many natural and engineering settings.
Sircar, S., Younger, J., Bortz, D.
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Physical Review E, 2008 We investigate the collision cascade that is generated by a single moving incident particle on a static hard-sphere gas. We argue that the number of moving particles at time t grows as t^{xi} and the number collisions up to time t grows as t^{eta}, with xi=2d/(d+2) and eta=2(d+1)/(d+2) and d the spatial dimension.
Antal, T., Krapivsky, P. L., Redner, S.
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Serbian Astronomical Journal, 2020 I review the origins and development of the idea of Dyson spheres, their purpose, their engineering, and their detectability. I explicate the ways in which the popular imagining of them as monolithic objects would make them dynamically unstable under gravity and radiation pressure, and mechanically unstable to buckling.
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Acta Physica Sinica (Overseas Edition), 1999 By analyzing the Einstein's equations for the static sphere, we find that there exists a non-singular static configuration whose radius can approach its corresponding horizon size arbitrarily.
Hao, L., Wei, J., Liu, S.
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Discrete & Computational Geometry, 1997 60 pages. First of two older papers in the series on the proof of the Kepler conjecture. See math.MG/9811071.
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