Bicollared n-manifold in Euclidean space
P. H. Doyle (1974)
Colloquium Mathematicae
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P. H. Doyle (1974)
Colloquium Mathematicae
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Jordan François, Lucrezia Ravera (2024)
Archivum Mathematicum
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We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry....
B. Hajduk (1976)
Colloquium Mathematicae
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U. C. Vohra, K. D. Singh (1972)
Annales Polonici Mathematici
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Wlodzimierz Waliszewski (1987)
Colloquium Mathematicae
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Rezaii, M.M., Barzegari, M. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Barchini, L., Gindikin, S.G., Wong, H.W. (1996)
Journal of Lie Theory
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Jiří Vanžura (2017)
Archivum Mathematicum
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We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.
Yusuf Kaya (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Katsuro Sakai (1996)
Compositio Mathematica
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V. Schroeder (1986)
Mathematische Zeitschrift
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Xu, Xufeng, Chao, Xiaoli (1998)
International Journal of Mathematics and Mathematical Sciences
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Di Terlizzi, Luigia, Pastore, Anna Maria (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Adara M. Blaga (2007)
Banach Center Publications
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The aim of the paper is to define a k-cosymplectic structure on the standard k-cosymplectic manifold associated to a regular Lagrangian and to reduce it via Marsden-Weinstein reduction.
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson (2009)
Publications Mathématiques de l'IHÉS
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Answering a question of Smale, we prove that the space of C 1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.
Taras Banakh, Robert Cauty (2007)
Banach Center Publications
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We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and...