Results 41 to 50 of about 600 (98)
Jacobi fields of the Tanaka-Webster connection on Sasakian manifolds
We build a variational theory of geodesics of the Tanaka-Webster connection on a strictly pseudoconvex CR manifold.Comment: 52 ...
Barletta, Elisabetta, Dragomir, Sorin
core +2 more sources
Collaborative Multiagent Closed‐Loop Motion Planning for Multimanipulator Systems
This work presents a hierarchical multi‐manipulator planner, emphasizing highly overlapping space. The proposed method leverages an enhanced Dynamic Movement Primitive based planner along with an improvised Multi‐Agent Reinforcement Learning approach to ensure regulatory and mediatory control while ensuring low‐level autonomy. Experiments across varied
Tian Xu, Siddharth Singh, Qing Chang
wiley +1 more source
Riemannian submersions from almost contact metric manifolds
In this paper we obtain the structure equation of a contact-complex Riemannian submersion and give some applications of this equation in the study of almost cosymplectic manifolds with Kaehler fibres.Comment: Abh. Math. Semin. Univ.
A. Bonome +38 more
core +1 more source
Abstract INTRODUCTION Polygenic risk scores (PRSs) for Alzheimer's disease (AD) capture an individual's genetic susceptibility to AD. Although thoroughly studied in older populations, there exists a notable gap in comprehensively exploring the association of AD PRS with early brain development.
Poorbita Kundu +8 more
wiley +1 more source
On the existence of infinitely many closed geodesics on orbifolds of revolution [PDF]
Using the theory of geodesics on surfaces of revolution, we introduce the period function. We use this as our main tool in showing that any two-dimensional orbifold of revolution homeomorphic to S^2 must contain an infinite number of geometrically ...
Borzellino, Joseph E. +3 more
core +3 more sources
First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1+1 more source
The Microlayer Framework: Extension to Aggregates With Non‐Uniform Shapes
ABSTRACT The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate‐matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for ...
Marcel May +3 more
wiley +1 more source
A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
Critically fixed Thurston maps: classification, recognition, and twisting
Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley +1 more source
Harmonic maps to the circle with higher dimensional singular set
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source

