From Riemann to Differential Geometry and Relativity / / edited by Lizhen Ji, Athanase Papadopoulos, Sumio Yamada |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XXXIV, 647 p. 24 illus.) |
Disciplina | 510.9 |
Soggetto topico |
Mathematics
History Differential geometry History of Mathematical Sciences Differential Geometry |
ISBN | 3-319-60039-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Introduction -- 1.Athanase Papadopoulos: Looking backward: From Euler to Riemann -- 2.Jeremey Gray: Riemann on geometry, physics, and philosophy – some remarks -- 3.Hubert Goenner: Some remarks on a contribution to electrodynamics by Bernhard Riemann -- 4.Christian Houzel: Riemann's Memoir Über das Verschwinden der Theta-Functionen -- 5.Sumio Yamada: Riemann's work on minimal surfaces -- 6. Athanase Papadopoulos: Physics in Riemann's mathematical papers -- 7.Athanase Papadopoulos: Cauchy and Puiseux: Two precursors of Riemann -- 8.Athanase Papadopoulos: Riemann surfaces: Reception by the French school -- 9.Ken'ichi Ohshika: The origin of the notion of manifold: from Riemann's Habilitationsvortrag onward -- 10.Franck Jedrzejewski: Deleuze et la géométrie riemannienne : une topologie des multiplicités -- 11.Arkady Plotnitsky: Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts -- 12.Feng Luo: The Riemann mapping theorem and its discrete counterparts -- 13.Norbert A'Campo, Vincent Alberge and Elena Frenkel: The Riemann–Roch theorem -- 14.Victor Pambuccian, Horst Struve and Rolf Struve: Metric geometries in an axiomatic perspective -- 15.Toshikazu Sunada: Generalized Riemann sums -- 16.Jacques Franchi: From Riemannian to Relativistic Diffusions -- 17.Andreas Hermann and Emmanuel Humbert: On the Positive Mass Theorem for closed Riemannian manifolds -- 18.Marc Mars: On local characterization results in geometry and gravitation -- 19.Jean-Philippe Nicolas: The conformal approach to asymptotic analysis -- 20.Lizhen Ji: Bernhard Riemann and his work. |
Record Nr. | UNINA-9910254286203321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
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Lo trovi qui: Univ. Federico II | ||
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Sophus Lie and Felix Klein : the Erlangen program and its impact in mathematics and physics |
Pubbl/distr/stampa | [Place of publication not identified], : European Mathematical Society, 2015 |
Collana | IRMA lectures in mathematics and theoretical physics Sophus Lie and Felix Klein |
Soggetto topico |
Geometry - History
Geometry, Projective Group theory Geometry Mathematics Physical Sciences & Mathematics |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Sophus Lie, a giant in mathematics ; Felix Klein, his life and mathematics / Lizhen Li -- Klein and the Erlangen Programme / Jeremy J. Gray -- Klein's "Erlanger Programm" : do traces of it exist in physical theories? / Hubert Goenner -- On Klein's so-called non-Euclidean geometry / Norbert A 'Campo, Athanase Papadopoulos -- What are symmetries of PDEs and what are PDEs themselves? / Alexandre Vinogradov -- Transformation groups in non-Riemannian geometry / Charles Frances -- Transitional geometry / Norbert A 'Campo, Athanase Papadopoulos -- On the projective geometry of constant curvature spaces / Athanase Papadopoulos, Sumio Yamada -- The Erlangen program and discrete differential geometry / Yuri B. Suris -- Three-dimensional gravity--an application of Felix Klein's ideas in physics / Catherine Meusburger -- Invariances in physics and group theory / Jean-Bernard Zuber. |
Record Nr. | UNINA-9910163022203321 |
[Place of publication not identified], : European Mathematical Society, 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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