Results 1 to 10 of about 91,366 (255)
Counting integral points on symmetric varieties with applications to arithmetic statistics
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar +2 more
wiley +1 more source
Intrinsic and extrinsic geometry of hypersurfaces in $\mathbb{S}^n \times \mathbb{R}$ and $\mathbb{H}^n \times \mathbb{R}$ [PDF]
arXiv, 2017 In this paper, geometric characterizations of conformally flat and radially flat hypersurfaces in $\mathbb{S}^n \times \mathbb{R}$ and $\mathbb{H}^n \times \mathbb{R}$ are given by means of their extrinsic geometry. Under suitable conditions on the shape operator, we classify conformally flat hypersurfaces in terms of rotation hypersurfaces.
arxiv
Lagrangian approximation of totally real concordances
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations ...
Georgios Dimitroglou Rizell
wiley +1 more source
Classification(s) of Danielewski hypersurfaces [PDF]
Transformation Groups, 2011 The Danielewski hypersurfaces are the hypersurfaces $X_{Q,n}$ in $\mathbb{C}^3$ defined by an equation of the form $x^ny=Q(x,z)$ where $n\geq1$ and $Q(x,z)$ is a polynomial such that $Q(0,z)$ is of degree at least two. They were studied by many authors during the last twenty years.
openaire +5 more sources
Substitution and Electron Transfer in Diborane‐Quinone Systems
Chemistry – A European Journal, Volume 31, Issue 17, March 20, 2025.The dual reactivity of cationic triflato‐diboranes as Lewis acids and electron donors allows quinone coordination and reduction, accompanied by oxidative B−B bond cleavage, in the diborane coordination sphere. A detailed evaluation of substitution reactions in the catecholato‐diborane products discloses the importance of a catecholato coordination mode
Daniel Vogler +5 more
wiley +1 more source
Modeling the boundaries of the working space of a planar three-link manipulator [PDF]
Омский научный вестникA study of the boundaries of the working space of a three-link planar manipulator, specified by analytical equations, is carried out. A new geometric interpretation of these samples is proposed. On its basis, it is established that outer space consists
T. A. Sheveleva, A. A. Lyashkov
doaj +1 more source
Polymer brush hypersurface photolithography
Nature Communications, 2020 Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell +7 more
doaj +1 more source
Deforming convex hypersurfaces to a hypersurface with prescribed harmonic mean curvature [PDF]
Science in China Ser A, 42(10), 1059-1066, (1999), 2003 A heat flow method is used to deform convex hypersurfaces in a ring domain to a hypersurface whose harmonic mean curvature is a prescribed function.
arxiv
The Möbius geometry of hypersurfaces [PDF]
Michigan Mathematical Journal, 2008 It is a familiar fact in several complex variables that the hermitian quadratic form Lr,p is invariant under biholomorphism. (Restricted to the complex tangent space, this is exactly the Levi form.) It is less familiar that the non-hermitian form Qr,p is invariant under Mobius transformation when restricted to the complex tangent space.
openaire +3 more sources
Projective invariants of CR-hypersurfaces [PDF]
arXiv, 2010 We study the equivalence problem under projective transformation for CR-hypersurfaces of complex projective space. A complete set of projective differential invariants for analytic hypersurfaces is given. The self-dual strongly C-linearly convex hypersurfaces are characterized.
arxiv