Results 21 to 30 of about 435 (185)
Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds [PDF]
We introduce and study generalized transversal lightlike submanifold of indefinite Sasakian manifolds which includes radical and transversal lightlike submanifolds of indefinite Sasakian manifolds as its trivial subcases. A characteristic theorem and a classification theorem of generalized transversal lightlike submanifolds are obtained.
Yaning Wang, Ximin Liu
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Witten genera of complete intersections
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley +1 more source
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
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source

