178,378 research outputs found
Meta-symplectic geometry of 3rd order Monge-Ampère equations and their characteristics
No full textThis paper is a natural companion of [Alekseevsky D.V., Alonso Blanco R., Manno G., Pugliese F., Ann. Inst. Fourier (Grenoble) 62 (2012), 497-524, arXiv:1003.5177], generalising its perspectives and results to the context of third-order (2D) Monge-Ampère equations, by using the so-called ''meta-symplectic structure'' associated with the 8D prolongation M⁽¹⁾ of a 5D contact manifold M. We write down a geometric definition of a third-order Monge-Ampère equation in terms of a (class of) differential two-form on M⁽¹⁾. In particular, the equations corresponding to decomposable forms admit a simple description in terms of certain three-dimensional distributions, which are made from the characteristics of the original equations. We conclude the paper with a study of the intermediate integrals of these special Monge-Ampère equations, herewith called of Goursat type.This paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour
of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html.
The authors wish to express their gratitude towards the anonymous referees whose comments
contributed to shape the paper into its final form. The authors thank C. Ciliberto, E. Ferapontov
and F. Russo for stimulating discussions. The research of the first author has been partially
supported by the project “Finanziamento giovani studiosi – Metriche proiettivamente equivalenti,
equazioni di Monge–Amp`ere e sistemi integrabili”, University of Padova 2013–2015, by
the project “FIR (Futuro in Ricerca) 2013 – Geometria delle equazioni dif ferenziali”. The
research of the second author has been partially supported by the Marie Sk lodowska–Curie
Action No 654721 “GEOGRAL”, by the University of Salerno, and by the project P201/12/G028
of the Czech Republic Grant Agency (GA CR). Both the authors are members of G.N.S.A.G.A. ˇ
of I.N.d.A.M
Ambrogio Giacomo Manno, Esistenza ed essere in Heidegger
No full textMartin Victor R. Ambrogio Giacomo Manno, Esistenza ed essere in Heidegger. In: Revue Philosophique de Louvain. Quatrième série, tome 71, n°11, 1973. pp. 625-626
Ambrogio Giacomo Manno, Esistenza ed essere in Heidegger
No full textMartin Victor R. Ambrogio Giacomo Manno, Esistenza ed essere in Heidegger. In: Revue Philosophique de Louvain. Quatrième série, tome 71, n°11, 1973. pp. 625-626
Jack R. Pogany and Bruno V. Manno Two of UD\u27s Best
No full textNews release announcing all of the activities and achievements of Jack R. Pogany and Bruno V. Manno
R. Manno: Die Voraussetzungen des Problems der Willensfreiheit. Zeitschrift für Philosophie und philos. Kritik 117 (2) , 210-223. 1901
No full textR. MANNO: DIE VORAUSSETZUNGEN DES PROBLEMS DER WILLENSFREIHEIT. ZEITSCHRIFT FÜR PHILOSOPHIE UND PHILOS. KRITIK 117 (2) , 210-223. 1901
Zeitschrift für Psychologie und Physiologie der Sinnesorgane (-)
Zeitschrift für Psychologie und Physiologie der Sinnesorgane (29) (a0001)
R. Manno: Die Voraussetzungen des Problems der Willensfreiheit. Zeitschrift für Philosophie und philos. Kritik 117 (2) , 210-223. 1901 (29) (p0076
Bruno V. Manno and Jack R. Pogany Most Educationally Progressive Students on Campus
No full textNews release announcing the University of Dayton considers Bruno V. Manno and Jack R. Pogany two of the most educationally progressive students on its campus
Normal forms for lagrangian distributions on 5-dimensional contact manifolds
No full textA contact distribution C on a manifold M determines a symplectic bundle C-->M. In this
paper we find normal forms for its lagrangian distributions by classifying vector fields lying
in C. Such vector fields are divided into three types and described in terms of the simplest
ones (characteristic fields of 1st order PDE’s). After having established the equivalence
between parabolic Monge–Ampère equations (MAE’s) and lagrangian distributions in terms
of characteristics, as an application of our results we give normal forms for parabolic MAE’s
Contact relative differential invariants for non generic parabolic Monge-Ampère equations
No full textWe find relative differential invariants of different orders for non generic parabolic Monge-Ampère equations (MAE’s). They are constructed in terms of some tensors associated with the derived flag of the characteristic distribution. The vanishing of such invariants allows one to determine the classes of each non generic parabolic MAE with respect to contact transformations
Appropriate Similarity Measures for Author Cocitation Analysis
No full textWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
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