13,985 research outputs found

    Integration of Lie Algebroid Comorphisms

    Full text link
    We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equivalence from the category of integrable Lie algebroids and complete Lie algebroid comorphisms to the category of source 1-connected Lie groupoids and Lie groupoid comorphisms. This allows us to construct an actual symplectization functor in Poisson geometry. We include examples to show that the integrability of comorphisms and Poisson maps may not hold in the absence of a completeness assumption.Comment: 28 pages, references adde

    Symplectic Microgeometry III: Monoids

    Full text link
    We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgroupoids and lagrangian submicrogroupoids (as morphisms), and the category of monoids and monoid morphisms in the microsymplectic category are equivalent symmetric monoidal categories.Comment: 19 pages, 2 figure

    Chromatographic test facility. Analysis and design of a capsule landing system and surface vehicle control system for Mars exploration

    Get PDF
    Test facility to verify design concepts and mathematical models of chromatograph for atmospheric composition analysis of Mar

    On the persistence of two small-scale problems in {\Lambda}CDM

    Full text link
    We investigate the degree to which the inclusion of baryonic physics can overcome two long-standing problems of the standard cosmological model on galaxy scales: (i) the problem of satellite planes around Local Group galaxies, and (ii) the "too big to fail" problem. By comparing dissipational and dissipationless simulations, we find no indication that the addition of baryonic physics results in more flattened satellite distributions around Milky-Way-like systems. Recent claims to the contrary are shown to derive in part from a non-standard metric for the degree of flattening, which ignores the satellites' radial positions. If the full 3D positions of the satellite galaxies are considered, none of the simulations we analyse reproduce the observed flattening nor the observed degree of kinematic coherence of the Milky Way satellite system. Our results are consistent with the expectation that baryonic physics should have little or no influence on the structure of satellite systems on scales of hundreds of kiloparsecs. Claims that the "too big to fail" problem can be resolved by the addition of baryonic physics are also shown to be problematic.Comment: 13 pages, 5 figures. Accepted for publication in ApJ. Partially written in response to arXiv:1412.274

    Untitled

    Get PDF

    Untitled

    Get PDF

    Untitled

    Get PDF

    Untitled

    Get PDF
    corecore