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Found 219 Documents (Results 1–100)

Lie jets and higher-order partial connections. (English. Russian original) Zbl 1457.58001

J. Math. Sci., New York 248, No. 4, 497-504 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 148, 122-129 (2018).
MSC:  58A20 58A32 53C15
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Holonomy pseudogroup of a manifold over the algebra of dual numbers and some its applications. (English. Russian original) Zbl 1434.53032

Russ. Math. 63, No. 2, 74-79 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 2, 82-88 (2019).
MSC:  53C15 16R99
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Transverse Lie jets and holomorphic geometric objects on transverse bundles. (English. Russian original) Zbl 1365.53015

Russ. Math. 60, No. 5, 70-74 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 5, 80-85 (2016).
MSC:  53A55 58A20
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Infinitesimal affine transformations of a Weil bundle of second order with complete lift connection. (English. Russian original) Zbl 1337.53024

Russ. Math. 59, No. 12, 1-9 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 12, 3-13 (2015).
MSC:  53B05
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Chern-Weil theory for certain infinite-dimensional Lie groups. (English) Zbl 1282.22013

Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7192-9/hbk; 978-1-4614-7193-6/ebook). Progress in Mathematics 306, 355-380 (2013).
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Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection. (English. Russian original) Zbl 1246.53019

Russ. Math. 55, No. 9, 52-57 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 9, 62-69 (2011).
MSC:  53B05
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Some aspects of the theory of manifolds over algebras and Weil bundles. (English. Russian original) Zbl 1226.53032

J. Math. Sci., New York 169, No. 3, 315-341 (2010); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 123 (2009).
MSC:  53C15 53C12 58A05
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Structured vector bundles define differential \(K\)-theory. (English) Zbl 1216.19009

Blanchard, Etienne (ed.) et al., Quanta of maths. Conference on non commutative geometry in honor of Alain Connes, Paris, France, March 29–April 6, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5203-3/pbk). Clay Mathematics Proceedings 11, 579-599 (2010).
MSC:  19L50
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Like jet prolongation functors of affine bundles. (English) Zbl 1162.58001

Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27–31, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-060-6/hbk). 475-487 (2008).
MSC:  58A05 58A20
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Adiabatic limits and the spectrum of the Laplacian on foliated manifolds. (English) Zbl 1159.58018

Burghelea, Dan (ed.) et al., \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser (ISBN 978-3-7643-8603-0/hbk). Trends in Mathematics, 123-144 (2008).
MSC:  58J50 57R30
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On the formal bracket of Lie algebroids. (English) Zbl 1232.58010

Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 161-166 (2007).
MSC:  58H05 58A20 22E65
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Functorial prolongations of Lie groupoids. (English) Zbl 1115.58003

Kubarski, Jan (ed.) et al., Geometry and topology of manifolds. The mathematical legacy of Charles Ehresmann. On the occasion of the hundredth anniversary of his birthday. Proceedings of the conference, Bȩdlewo, Poland, May 8–15, 2005. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 76, 177-184 (2007).
MSC:  58A20 58A32
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