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pro vyhledávání: '"Anthony D. Blaom"'
Autor:
Anthony D. Blaom
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 074 (2013)
A linear connection on a Lie algebroid is called a Cartan connection if it is suitably compatible with the Lie algebroid structure. Here we show that a smooth connected manifold M is locally homogeneous – i.e., admits an atlas of charts modeled on
Externí odkaz:
https://doaj.org/article/38f5bc56093c47b3961d978f672a1160
Autor:
Thibaut Lienart, Diego Arenas, Sebastian J. Vollmer, Yiannis Simillides, Anthony D. Blaom, Franz J. Király
MLJ (Machine Learing in Julia) is an open source software package providing a common interface for interacting with machine learning models written in Julia and other languages. It provides tools and meta-algorithms for selecting, tuning, evaluating,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb695bdf8c4ed5b0d34f396f6ccb1d70
Autor:
Anthony D. Blaom
We investigate the infinitesimal invariants of an immersed submanifold $\Sigma $ of a Klein geometry $M\cong G/H$, and in particular an invariant filtration of Lie algebroids over $\Sigma $. The invariants are derived from the logarithmic derivative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::215b1b674049cc324bf38506d7212671
Autor:
Anthony D. Blaom
A multiplicatively closed, horizontal $n$-plane field $D$ on a Lie groupoid $G$ over $M$ generalizes to intransitive geometry the classical notion of a Cartan connection. The infinitesimalization of the connection $D$ is a Cartan connection $\nabla $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5dedeb0054c2a3a2849880e307799c2
http://dspace.nbuv.gov.ua/handle/123456789/148549
http://dspace.nbuv.gov.ua/handle/123456789/148549
Autor:
Anthony D. Blaom
Publikováno v:
Transactions of the American Mathematical Society. 364:3071-3135
Elie Cartan's general equivalence problem is recast in the language of Lie algebroids. The resulting formalism, being coordinate and model-free, allows for a full geometric interpretation of Cartan's method of equivalence via reduction and prolongati
Autor:
Anthony D. Blaom
The perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a coordinate system intrinsic to the geometry of the symmetry, we generalize and geometrize well-known estimates
Autor:
Anthony D. Blaom
Publikováno v:
Documenta Mathematica. 7:561-604
Autor:
Anthony D. Blaom
A general model for geometric structures on differentiable manifolds is obtained by deforming infinitesimal symmetries. Specifically, this model consists of a Lie algebroid, equipped with an affine connection compatible with the Lie algebroid structu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cff67477e36597db77c7af671cf494fb
Autor:
Anthony D. Blaom
Publikováno v:
Memoirs of the American Mathematical Society. 153
Introduction Part 1. Dynamics: Lie-Theoretic preliminaries Action-group coordinates On the existence of action-group coordinates Naive averaging An abstract formulation of Nekhoroshev's theorem Applying the abstract Nekhoroshev's theorem to action-gr
Autor:
Anthony D. Blaom
Publikováno v:
Differential Geometry and its Applications. (3):231-252
A new formula for reconstruction phases in Hamiltonian systems with symmetry expresses the phase in terms of the Poisson-reduced solution curve and certain derivatives transverse to the symplectic leaf containing the curve. Specifically, the “dynam