Results 41 to 50 of about 43,110 (140)
Volume Growth, Number of Ends and the Topology of a Complete Submanifold
Given a complete isometric immersion $\phi: P^m \longrightarrow N^n$ in an ambient Riemannian manifold $N^n$ with a pole and with radial sectional curvatures bounded from above by the corresponding radial sectional curvatures of a radially symmetric ...
Gimeno, Vicent, Palmer, Vicente
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Abstract Heterogeneous materials are crucial to producing lightweight components, functional components, and structures composed of them. A crucial step in the design process is the rapid evaluation of their effective mechanical, thermal, or, in general, constitutive properties.
Sanath Keshav+2 more
wiley +1 more source
Projective Compactness and Conformal Boundaries
Let $\overline{M}$ be a smooth manifold with boundary $\partial M$ and interior $M$. Consider an affine connection $\nabla$ on $M$ for which the boundary is at infinity.
Cap, Andreas, Gover, A. Rod
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
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Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang+3 more
wiley +1 more source
On semi-slant $\xi^\perp-$Riemannian submersions
The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant $\xi^\perp ...
Akyol, Mehmet Akif, Sarı, Ramazan
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The halfspace depth generalizes quantiles to multivariate data. This is a bagplot—a depth‐based analog of a boxplot. It succinctly captures the geometry of the bivariate dataset (blue/red points) and identifies the four red points in the top left corner as deviating from the general pattern of the data.
Stanislav Nagy
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Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
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The Geometry of the First Non-zero Stekloff Eigenvalue
Let (Mn, g) be a compact Riemannian manifold with boundary and dimensionn⩾2. In this paper we discuss the first non-zero eigenvalue problem \begin{align}\Delta\varphi & = & 0\qquad & on\quad M,\\ \frac{\partial\varphi}{\partial \eta} & = & \ u_1\varphi ...
José F. Escobar
semanticscholar +1 more source
Deformations of Anosov subgroups: Limit cones and growth indicators
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
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