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Complete spherical convex bodies [PDF]
Journal of Geometry, 2020 AbstractSimilarly to the classic notion in Euclidean space, we call a set on the sphere $$S^d$$ S d complete, provided adding any extra point increases its diameter. Complete sets are convex bodies on $$S^d$$ S d . Our main theorem says that on $$S^d$$ S d complete bodies of diameter $$\delta $$ δ coincide with bodies of constant width ...
Marek Lassak
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The Ultrametric Corona Problem and spherically complete fields [PDF]
Proceedings of the Edinburgh Mathematical Society, 2010 AbstractLet K be a complete ultrametric algebraically closed field and let A be the Banach K-algebra of bounded analytic functions in the ‘open’ unit disc D of K provided with the Gauss norm. Let Mult(A,‖ · ‖) be the set of continuous multiplicative semi-norms of A provided with the topology of simple convergence, let Multm(A, ‖ · ‖) be the subset of ...
Alain Escassut
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Spherically symmetric anisotropic charged solution under complete geometric deformation approach [PDF]
European Physical Journal C: Particles and Fields, 2021 We present a new systematic approach to find the exact gravitationally decoupled anisotropic spherical solution in the presence of electric charge by using the complete geometric deformation (CGD) methodology.
S. K. Maurya +3 more
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Master field equations for spherically symmetric gravitational fields beyond general relativity [PDF]
Nature CommunicationsAccording to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account.
Raúl Carballo-Rubio
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A theorem on spherically complete valued abelian groups [PDF]
, 1997 We give a criterion for a group homomorphism on a valued abelian group to be surjective and to preserve spherical completeness. We apply this to give a criterion for the existence of integration on a valued differential field. Further, we give a criterion for a sum of spherically complete subgroups of a valued abelian group to be spherically complete ...
Franz‐Viktor Kuhlmann
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DSM complete synthetic seismograms: SH, spherically symmetric, case
Geophysical Research Letters, 1994 We present a new technique, based on the Direct Solution Method (DSM) [Geller et al., 1990; Hara et al., 1991; Geller and Ohminato, 1994], for calculating SH (toroidal) synthetic seismograms for spherically symmetric, isotropic, media. No asymptotic approximations are used and the synthetics, which fully include both body and surface waves, can be ...
Phil R. Cummins
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Complete fusion of
, 2010 The complete fusion of $^9$Be with $^{144}$Sm and $^{208}$Pb targets is calculated in the coupled-channels approach. The calculations include couplings between the 3/2$^-$, 5/2$^-$, and 7/2$^-$ states in the $K=3/2$ ground state rotational band of $^9$Be. It is shown that the $B(E2)$ values for the excitation of these states are accurately described in
H. Esbensen
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Complete spherical Bouguer gravity anomalies over Australia [PDF]
Australian Journal of Earth Sciences, 2009 Complete (or refined) spherical Bouguer gravity anomalies have been computed for all 1 095 065 land gravity observations in the June 2007 release of the Australian national gravity database. The spherical Bouguer shell contribution was computed using the supplied ground elevations of the gravity observations. The spherical terrain corrections, residual
Michael Kühn +2 more
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Complete classification of spherically symmetric static space-times via Noether symmetries [PDF]
Theoretical and Mathematical Physics, 2015 In this paper we give a complete classification of spherically symmetric static space-times by their Noether symmetries. The determining equations for Noether symmetries are obtained by using the usual Lagrangian of a general spherically symmetric static spacetime which are integrated for each case.
F. Ali, T. Feroze, S. Ali
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Vibrations of Complete Spherical Shells With Imperfections
Journal of Vibration and Acoustics, 2007 Numerous theoretical investigations on the natural frequencies for complete spherical shells have been reported over the past four decades. However, attempts at correlating the theoretical results with either experimental or simulated results (both for axisymmetric and nonaxisymmetric modes of vibration) are almost completely lacking.
T.A. Duffey +4 more
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