Results 11 to 20 of about 1,011 (213)
Special lines on contact manifolds [PDF]
, 2022 In a series of two articles Kebekus studied deformation theory of minimal rational curves on contact Fano manifolds. Such curves are called contact lines. Kebekus proved that a contact line through a general point is necessarily smooth and has a fixed
Jarosław Buczyński +5 more
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Extended Hamilton-Jacobi theory, contact manifolds, and integrability by quadratures [PDF]
, 2020 A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper, we shall apply such a theory to contact Hamiltonian systems, as those appearing in thermodynamics and on geodesic flows ...
Sergio Grillo +3 more
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Supersymmetric geometries in string theory [PDF]
, 2022 Supersymmetric vacua of string theory endow the internal space with a special geometric structure. We refer to these structures collectively as supersymmetric geometries.
Cizel, Sebastjan
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Riemannian geometry of contact and symplectic manifolds [PDF]
, 2002 This monograph deals with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter The text is carefully presented Topics unfold systematically from Chapter 1, which examines the general theory of ...
Blair, David E
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Extended Legendrian Dualities Theorem in Singularity Theory [PDF]
, 2022 In this paper, we find some new information on Legendrian dualities and extend them to the case of Legendrian dualities for continuous families of pseudo-spheres in general semi-Euclidean space.
Jiajing Miao, Haiming Liu
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INVARIANTS AND INFINITESIMAL TRANSFORMATIONS FOR CONTACT SUB-LORENTZIAN STRUCTURES ON 3-DIMENSIONAL MANIFOLDS. [PDF]
, 2014 In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds.
Marek Grochowski +3 more
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Contact homology of Hamiltonian mapping tori [PDF]
, 2010 In the general geometric setup for symplectic field theory the contact manifolds can be replaced by mapping toriMØ of symplectic manifolds (M,ω) with symplectomorphisms Ø.
Fabert, Oliver, Fabert, O.
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Contact $(+1)$-surgeries and algebraic overtwistedness [PDF]
, 2023 We show that a contact $(+1)$-surgery along a Legendrian sphere in a flexibly fillable contact manifold ($c_1=0$ if not subcritical) yields a contact manifold that is algebraically overtwisted if the Legendrian's homology class is not annihilated in the ...
Zhou, Zhengyi
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Geometry of manifolds with non-negative sectional curvature [PDF]
, 2014 Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area.
Galaz-García, Fernando +5 more
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Hodge Theory on Transversely Symplectic Foliations [PDF]
, 2017 In this paper, we develop symplectic Hodge theory on transversely symplectic foliations. In particular, we establish the symplectic dδ-lemma for any such foliations with the (transverse) s-Lefschetz property. As transversely symplectic foliations include
Yi Lin, Lin, Yi
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