Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Ayele, TG, Mikhailov, SE
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Scalar actions in Lean's mathlib
, 2021 Scalar actions are ubiquitous in mathematics, and therefore it is valuable to be able to write them succinctly when formalizing. In this paper we explore how Lean 3's typeclasses are used by mathlib for scalar actions with examples, illustrate some of ...
Wieser, Eric
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Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds [PDF]
arXiv, 2008 We prove local existence of solutions to the extended constant scalar curvature equations introduced by A. Butscher, in the asymptotically hyperbolic setting. This gives a new local construction of asymptotically hyperbolic metrics with constant scalar curvature.
arxiv
Density of Polynomials in the L^2 Space on the Real and the Imaginary Axes and in a Sobolev Space [PDF]
, 2009 2000 Mathematics Subject Classification: 41A10, 30E10, 41A65.In this paper we consider an L^2 type space of scalar functions L^2 M, A (R u iR) which can be, in particular, the usual L^2 space of scalar functions on R u iR.
Klotz, Lutz, Zagorodnyuk, Sergey M.
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UniverseThis review devoted to the centenary of Alexander Friedmann’s prediction of the Universe expansion presents the results obtained by him in 1922 and 1924 and an overview of their further developments.
Vladimir M. Mostepanenko
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Notes on a conformal characterization of $2$-dimensional Lorentzian manifolds with constant Ricci scalar curvature [PDF]
arXiv, 2020 We present a characterization of $2$-dimensional Lorentzian manifolds with constant Ricci scalar curvature. It is well known that every $2$-dimensional Lorentzian manifolds is conformally flat, so we rewrite the Ricci scalar curvature in terms of the conformal factor and we study the solutions of the corresponding differential equations.
arxiv
Simple rule, hidden meaning: the scalar product in engineering mathematics [PDF]
, 2017 Engineering is a highly mathematical field of study with different university courses requiring proficiency at different types of mathematics. Engineering dynamics requires the skilful use of vectors in various ways and proficiency at vector arithmetic ...
Cloete, Trevor J, Craig, Tracy S
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On geometrical representation of the Jacobian in a path integral reduction problem [PDF]
, 2007 The geometrical representation of the Jacobian in the path integral reduction problem which describes a motion of the scalar particle on a smooth compact Riemannian manifold with the given free isometric action of the compact semisimple Lie group is obtained.
arxiv +1 more source
Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
ریاضی و جامعهThis paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
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Mean Curvature Driven Ricci Flow [PDF]
arXiv, 2009 We obtain the evolution equations for the Riemann tensor, the Ricci tensor and the scalar curvature induced by the mean curvature flow. The evolution for the scalar curvature is similar to the Ricci flow, however, negative, rather than positive, curvature is preserved. Our results are valid in any dimension.
arxiv