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Subject = Geometry and Topology;
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Displaying Results 1 - 2 of 2 on page 1 of 1
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Metrology and Proportion in the Ecclesiastical Architecture of Medieval Ireland
(2008)
Behan, Avril; Moss, Rachel
Metrology and Proportion in the Ecclesiastical Architecture of Medieval Ireland
(2008)
Behan, Avril; Moss, Rachel
Abstract:
<p>The aim of this paper is to examine the extent to which detailed empirical analysis of the metrology and proportional systems used in the design of Irish ecclesiastical architecture can be analysed to provide historical information not otherwise available. Focussing on a relatively limited sample of window tracery designs as a case study, it will first set out to establish what, if any, systems were in use, and then what light these might shed on the background, training and work practices of the masons, and, by association, the patrons responsible for employing them.</p>
http://arrow.dit.ie/beschspart/1
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Poisson Structures of Equations associated with groups of diffeomorphisms
(2009)
Ivanov, Rossen
Poisson Structures of Equations associated with groups of diffeomorphisms
(2009)
Ivanov, Rossen
Abstract:
A class of equations describing the geodesic flow for a right-invariant metric on the group of diffeomorphisms of Rn is reviewed from the viewpoint of their Lie-Poisson structures. A subclass of these equations is analogous to the Euler equations in hydrodynamics (for n = 3), preserving the volume element of the domain of fluid flow. An example in n = 1 dimension is the Camassa-Holm equation, which is a geodesic flow equation on the group of diffeomorphisms, preserving the H1 metric.
http://arrow.dit.ie/scschmatcon/5
Displaying Results 1 - 2 of 2 on page 1 of 1
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