Results 81 to 90 of about 48,546 (184)
Generalized surgery on Riemannian manifolds of positive Ricci curvature
Transactions of the American Mathematical Society, 2023 The surgery theorem of Wraith states that positive Ricci curvature is preserved under surgery if certain metric and dimensional conditions are satisfied. We generalize this theorem as follows: instead of attaching a product of a sphere and a disc, we glue a sphere bundle over a manifold with a so-called core metric, a type of metric which was recently ...
openaire +3 more sources
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
Classification of Cohomogeneity One Manifolds in Low Dimensions
, 2007 A cohomogeneity one manifold is a manifold with the action of a compact Lie group, whose quotient is one dimensional. Such manifolds are of interest in Riemannian geometry, in the context of nonnegative sectional curvature, as well as in other areas of ...
Hoelscher, Corey A.
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Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source
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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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Hearing exotic smooth structures
Advanced Nonlinear StudiesThis paper explores the existence and properties of basic eigenvalues and eigenfunctions associated with the Riemannian Laplacian on closed, connected Riemannian manifolds featuring an effective isometric action by a compact Lie group.
Cavenaghi Leonardo F. +2 more
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