Results 81 to 90 of about 47,687 (176)
On the Poles of Riemannian Manifolds of Nonnegative Curvature [PDF]
Advanced Studies in Pure Mathematics, 2018 The diameter of the set of poles on Riemannian manifolds of nonnegative sectional curvature is estimated by a constant defined by Maeda. We study the constant for elliptic paraboloids and show that our estimate is sharp.
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Hyperbolic Gradient-Bourgoignon Flow
پژوهشهای ریاضی, 2022 Introduction Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s. In the last two decades, a lot of researchers have been done on Ricci solitons.
Hamed Faraji +2 more
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Random walk on sphere packings and Delaunay triangulations in arbitrary dimension
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that random walks on a family of tilings of d$d$‐dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of Voronoi tessellations) and sphere packings.
Ahmed Bou‐Rabee, Ewain Gwynne
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Total curvature of curves in Riemannian manifolds
Differential Geometry and its Applications, 2010 The total curvature of C2 curves embedded in an arbitrary Riemannian manifold is shown to be the limit of the curvatures of inscribed geodesic polygons. The formula for the total curvature of a curve as the least upper bound of curvatures of inscribed geodesic polygons holds for a manifold of non-positive sectional curvature only.
V. Fernández Mateos +2 more
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Closed geodesics and the first Betti number
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
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The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds
Journal of MathematicsIn this paper, first we prove a nonexistence theorem for α-harmonic mappings between Riemannian manifolds. Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate
Amir Shahnavaz +2 more
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Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
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Legendrian non‐isotopic unit conormal bundles in high dimensions
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
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A Survey of Riemannian Contact Geometry
Complex Manifolds, 2019 This survey is a presentation of the five lectures on Riemannian contact geometry that the author gave at the conference “RIEMain in Contact”, 18-22 June 2018 in Cagliari, Sardinia.
Blair David E.
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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
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