Results 1 to 10 of about 1,114 (57)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order
Advances in Nonlinear Analysis, 2022 In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) supporting a special function, and successfully obtain a general inequality for
Du Feng +3 more
doaj +1 more source
On the bifurcation of solutions of the Yamabe problem in product manifolds with minimal boundary
Advances in Nonlinear Analysis, 2018 In this paper, we study the multiplicity of solutions of the Yamabe problem on product manifolds with minimal boundary via bifurcation theory.
Cárdenas Diaz Elkin Dario +1 more
doaj +1 more source
New Results About the Lambda Constant and Ground States of the 𝑊-Functional
Advanced Nonlinear Studies, 2020 In this paper, we study properties of the lambda constants and the existence of ground states of Perelman’s famous W-functional from a variational formulation. We have two kinds of results.
Ma Li
doaj +1 more source