Results 1 to 10 of about 224 (67)
Tachibana-type theorems on complete manifolds [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2022 We prove that a compact Riemannian manifold of dimension m ≥ 3 with harmonic curvature and ⌊ 2 ⌋-positive curvature operator has constant sectional curvature, extending the classical Tachibana theorem for manifolds with positive curvature operator.
G. Colombo, Marco Mariani, M. Rigoli
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Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature [PDF]
SIAM Journal on Optimization, 2021 We consider the popular and classical method of alternating projections for finding a point in the intersection of two closed sets. By situating the algorithm in a metric space, equipped only with well-behaved geodesics and angles (in the sense of ...
A. Lewis +2 more
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, 2021 In this paper, we study hyperovaloids from the perspective of the equiaffine differential geometry. As the main result, we establish an optimal integral inequality of the hyperovaloids in terms of the normalized affine scalar curvature and the squared ...
Z. Hu, Cheng Xing
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Remarks on Manifolds with Two-Sided Curvature Bounds
Analysis and Geometry in Metric Spaces, 2021 We discuss folklore statements about distance functions in manifolds with two-sided bounded curvature. The topics include regularity, subsets of positive reach and the cut locus.
Kapovitch Vitali, Lytchak Alexander
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 44, Issue 2, Page 200-217, March 2023., 2023 Abstract Parenting interventions can improve parenting outcomes, with widespread implications for children's developmental trajectories. Relational savoring (RS) is a brief attachment‐based intervention with high potential for dissemination. Here we examine data from a recent intervention trial in order to isolate the mechanisms by which savoring ...
Jessica L. Borelli +5 more
wiley +1 more source
Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces
Open Mathematics, 2021 In this paper, we study the eigenvalue problem of poly-drifting Laplacian on complete smooth metric measure space (M,⟨,⟩,e−ϕdv)\left(M,\langle ,\rangle ,{e}^{-\phi }{\rm{d}}v), with nonnegative weighted Ricci curvature Ricϕ≥0{{\rm{Ric}}}^{\phi }\ge 0 for
Hou Lanbao +3 more
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Growth Competitions on Spherically Symmetric Riemannian Manifolds
Analysis and Geometry in Metric Spaces, 2022 We propose a model for a growth competition between two subsets of a Riemannian manifold. The sets grow at two different rates, avoiding each other. It is shown that if the competition takes place on a surface which is rotationally symmetric about the ...
Assouline Rotem
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Extremal subsets in geodesically complete spaces with curvature bounded above
Analysis and Geometry in Metric Spaces, 2023 We introduce the notion of an extremal subset in a geodesically complete space with curvature bounded above, i.e., a GCBA space. This is an analog of an extremal subset in an Alexandrov space with curvature bounded below introduced by Perelman and ...
Fujioka Tadashi
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Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds
Analysis and Geometry in Metric Spaces, 2021 In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
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Results in Physics, 2021 Static perfect fluid spaces are of great interest in metric theories of gravitation, they being used in building realistic models of some compact objects, like neutron stars and white dwarfs.
Sharief Deshmukh +2 more
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