Results 31 to 40 of about 215 (152)
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
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
Leaf of leaf foliation and Beltrami parametrization in d > 2 dimensional gravity
This work establishes the existence of a covariant “Beltrami vielbein” in dimensions d>2, generalizing the well-known d=2 case. The definition of this vielbein is motivated by a sub-foliation structure of the Arnowitt–Deser–Misner (ADM) slices of a d ...
Laurent Baulieu
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Contact Normal Submanifolds and Contact Generic Normal Submanifolds in Kenmotsu Manifolds
Let \(M\) be a Kenmotsu manifold or Kenmotsu space form. In this paper, the author studies contact normal and contact generic normal submanifolds and shows that, under certain conditions, they are CR-manifolds, spaces of constant curvature, locally symmetric and Einstein manifolds.
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The cosymplectic Chern–Hamilton conjecture
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
Vector fields near a generic submanifold [PDF]
The authors consider a generic vector field \(X\) on a smooth manifold \(M\) near a generically embedded submanifold \(Q\). They obtain a classification of such vector fields by giving local normal forms near a point in the image of \(Q\). The classification is obtained by means of the following ideas: Since \(X\) is a generic vector field, \(X\) has ...
Ishikawa, G., Izumiya, S., Watanabe, K.
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Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo +3 more
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f-Biminimal submanifolds of generalized space forms
Summary: We study \(f\)-biminimal submanifolds in generalized complex space forms and generalized Sasakian space forms. Then, we analyze \(f\)-biminimal submanifolds in these spaces. Finally, we consider \(f\)-biminimal integral submanifolds in Sasakian space forms and give an example.
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On contact 3‐manifolds that admit a nonfree toric action
Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
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Canonical forms of oriented matroids
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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We develop a unified dynamical systems framework for spatially flat FLRW cosmology in f(Q) gravity, covering all three connection branches using a single set of Hubble-normalised variables without fixing the function f(Q) a priori. This model-independent
Jibitesh Dutta +4 more
doaj +1 more source

