Results 91 to 100 of about 2,699,199 (290)
Approximating Riemannian manifolds by polyhedra [PDF]
arXiv, 2022 This is a study on approximating a Riemannian manifold by polyhedra. Our scope is understanding Tullio Regge's [52] article in the restricted Riemannian frame. We give a proof of the Regge theorem along lines close to its original intuition: one can approximate a compact domain of a Riemannian manifold by polyhedra in such a way that the integral of ...
arxiv
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
Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds
Advances in Mathematical Physics, 2015 We investigate the Dirichlet weighted eigenvalue problem of the elliptic operator in divergence form on compact Riemannian manifolds (M,g,e-ϕdv). We establish a Yang-type inequality of this problem.
Shenyang Tan, Tiren Huang, Wenbin Zhang
doaj +1 more source
A curvature identity on a 6-dimensional Riemannian Manifold and its applications [PDF]
arXiv, 2016 We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. We also introduce some applications of this curvature identity.
arxiv
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
Algebraicity of Induced Riemannian Curvature Tensor on Lightlike Warped Product Manifolds
Journal of Applied Mathematics and Physics, 2019 Lightlike warped product manifolds are considered in this paper. The geometry of lightlike submanifolds is difficult to study since the normal vector bundle intersects with the tangent bundle.
D. Ndayirukiye +3 more
semanticscholar +1 more source
Curvature Properties of Two Naveira Classes of Riemannian Product Manifolds [PDF]
arXiv, 2012 The main aim of the present work is to obtain some curvature properties of the manifolds from two classes of Riemannian product manifolds. These classes are two basic classes from Naveira classification of Riemannian almost product manifolds.
arxiv
Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set
, 1991 . We consider complete manifolds with Ricci cur vature nonnegative outside a compact set and prove that the number of ends of such a manifold is finite and in particular, we give an explicit upper bound for the number.
Mingliang Cai
semanticscholar +1 more source
RC-positivity and rigidity of harmonic maps into Riemannian manifolds [PDF]
arXiv, 2018 In this paper, we show that every harmonic map from a compact K\"ahler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curvature is constant. In particular, there is no non-constant harmonic map from a compact K\"ahler manifold with positive holomorphic sectional curvature to a Riemannian ...
arxiv
Geometric curvature bounds in Riemannian manifolds with boundary [PDF]
Transactions of the American Mathematical Society, 1993 An Alexandrov upper bound on curvature for a Riemannian manifold with boundary is proved to be the same as an upper bound on sectional curvature of interior sections and of sections of the boundary which bend away from the interior. As corollaries those same sectional curvatures are related to estimates for convexity and conjugate radii; the Hadamard ...
Stephanie B. Alexander +2 more
openaire +1 more source