Results 41 to 50 of about 2,719,579 (161)
Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley +1 more source
The Geometry of the First Non-zero Stekloff Eigenvalue
, 1997 Let (Mn, g) be a compact Riemannian manifold with boundary and dimensionn⩾2. In this paper we discuss the first non-zero eigenvalue problem \begin{align}\Delta\varphi & = & 0\qquad & on\quad M,\\ \frac{\partial\varphi}{\partial \eta} & = & \ u_1\varphi ...
José F. Escobar
semanticscholar +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
A Fundamental Theorem for Hypersurfaces in Semi-Riemannian Warped Products [PDF]
, 2014 We give necessary and sufficient conditions for a semi-Riemannian manifold of arbitrary signature to be locally isometrically immersed into certain warped products. Then, we describe a way to use the structure equations of such immersions to construct foliations of marginally trapped surfaces in a four-dimensional Lorentzian spacetimes.
arxiv +1 more source
From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley +1 more source
Riemannian Geometry on Some Noncommutative Spaces [PDF]
, 2017 This dissertation enquires into how the theory and mechanism of Riemannian geometry can be introduced into and integrated with the existent ones in noncommutative geometry, a branch of mathematics inspired by the development of quantum physics that ...
Chen, Wei-Da
core
On higher order Codazzi tensors on complete Riemannian manifolds [PDF]
arXiv, 2018 We prove several Liouville-type non-existence theorems for higher order Codazzi tensors and classical Codazzi tensors on complete and compact Riemannian manifolds, in particular. These results will be obtained by using theorems of the connections between the geometry of a complete smooth manifold and the global behavior of its subharmonic functions. In
arxiv
Mabuchi Kähler solitons versus extremal Kähler metrics and beyond
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 692-710, March 2025.Abstract Using the Yau–Tian–Donaldson type correspondence for v$v$‐solitons established by Han–Li, we show that a smooth complex n$n$‐dimensional Fano variety admits a Mabuchi soliton provided it admits an extremal Kähler metric whose scalar curvature is strictly less than 2(n+1)$2(n+1)$.
Vestislav Apostolov +2 more
wiley +1 more source
Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
, 2001 We compute the scalar curvature of 7-dimensional ${G}_2$-manifolds admitting a connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar curvature of the
Bonan +25 more
core +1 more source
A Liouvile-type theorems for some classes of complete Riemannian almost product manifolds and for special mappings of complete Riemannian manifolds [PDF]
arXiv, 2016 In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds.
arxiv