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Notes on conformal differential geometry

Eastwood, Michael (1996)

Proceedings of the 15th Winter School "Geometry and Physics"

This survey paper presents lecture notes from a series of four lectures addressed to a wide audience and it offers an introduction to several topics in conformal differential geometry. In particular, a very nice and gentle introduction to the conformal Riemannian structures themselves, flat or curved, is presented in the beginning. Then the behavior of the covariant derivatives under the rescaling of the metrics is described. This leads to Penrose’s local twistor transport which is introduced in...

Nové knihy

(2016)

Pokroky matematiky, fyziky a astronomie

Trkovská, D.: Historický vývoj geometrických transformací Sýkorová, I: Matematika ve staré Indii

Numerical analysis of a lumped parameter friction model

Janovský, Vladimír (2015)

Application of Mathematics 2015

We consider a contact problem of planar elastic bodies. We adopt Coulomb friction as (an implicitly defined) constitutive law. We will investigate highly simplified lumped parameter models where the contact boundary consists of just one point. In particular, we consider the relevant static and dynamic problems. We are interested in numerical solution of both problems. Even though the static and dynamic problems are qualitatively different, they can be solved by similar piecewise-smooth continuation...

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