Results 51 to 60 of about 42,392 (191)
Convergent normal form for real hypersurfaces at generic Levi degeneracy [PDF]
, 2014 We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface.
Kossovskiy, Ilya, Zaitsev, Dmitri
core
A characterization of quadric constant mean curvature hypersurfaces of spheres
, 2008 Let $\phi:M\to\mathbb{S}^{n+1}\subset\mathbb{R}^{n+2}$ be an immersion of a complete $n$-dimensional oriented manifold. For any $v\in\mathbb{R}^{n+2}$, let us denote by $\ell_v:M\to\mathbb{R}$ the function given by $\ell_v(x)=\phi(x),v$ and by $f_v:M\to ...
Aldir Brasil +13 more
core +1 more source
Real hypersurfaces in Kähler manifolds [PDF]
Asian Journal of Mathematics, 2001 This paper is concerned with the geometry of embedded real hypersurfaces in a Kähler manifold, where isomorphisms are both holomorphic and isometric in the underlying Riemannian structure. The author introduces their local invariants and compatibility relations, solves the local realization problem, and gives a characterization of the metric sphere in \
openaire +2 more sources
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Levi umbilical surfaces in complex space
, 2005 We define a complex connection on a real hypersurface of $\C^{n+1}$ which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify connected real hypersurfaces in $\C^{n+1}$, $n\ge 2$, which are Levi umbilical ...
Citti A +8 more
core +1 more source
Sachs’ free data in real connection variables
Journal of High Energy Physics, 2017 We discuss the Hamiltonian dynamics of general relativity with real connection variables on a null foliation, and use the Newman-Penrose formalism to shed light on the geometric meaning of the various constraints.
Elena De Paoli, Simone Speziale
doaj +1 more source
Advanced Materials Technologies, Volume 11, Issue 5, 6 March 2026.This review explores recent advances in digital micromirror device (DMD)‐based lithography, focusing on its programmable light modulation, multi‐material compatibility, and dimensional patterning strategies. It highlights innovations from optical system design to materials integration and multifunctional applications, positioning DMD lithography as a ...
Yubin Lee +5 more
wiley +1 more source
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
Fitting in a complex chi^2 landscape using an optimized hypersurface sampling
, 2011 Fitting a data set with a parametrized model can be seen geometrically as finding the global minimum of the chi^2 hypersurface, depending on a set of parameters {P_i}. This is usually done using the Levenberg-Marquardt algorithm.
A. Benveniste +11 more
core +1 more source
WDVV‐based recursion for open Gromov–Witten invariants
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley +1 more source