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Equivariant geometric convolutions for dynamical systems on vector and tensor images. [PDF]
Philos Trans A Math Phys Eng SciGregory WG +5 more
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Probabilistic evaluation of combination rules for seismic response prediction of horizontally curved RC bridges under varying earthquake incidence angles. [PDF]
Sci RepTehrani P, Heydarpour K.
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Spectral decomposition unlocks ascidian morphogenesis. [PDF]
ElifeDokmegang J +4 more
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Generalized soap bubbles and the topology of manifolds with positive scalar curvature
Annals of Mathematics, 2020We prove that for $n\in \{4,5\}$, a closed aspherical $n$-manifold does not admit a Riemannian metric with positive scalar curvature. Additionally, we show that for $n\leq 7$, the connected sum of a $n$-torus with an arbitrary manifold does not admit a ...
Otis Chodosh, Chao Li
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Pointwise lower scalar curvature bounds for $$C^0$$ metrics via regularizing Ricci flow
Geometric and Functional Analysis, 2019In this paper we propose a class of local definitions of weak lower scalar curvature bounds that is well defined for $$C^0$$ metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that ...
Paula Burkhardt-Guim
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On symmetric finsler spaces ofHp-scalar curvature and scalar curvature
Periodica Mathematica Hungarica, 1986A Finsler space \(F_ n\) is said to be of Hp-scalar curvature if \(p\cdot H_{\ell ijr}=k(h_{\ell j} h_{ir}-h_{\ell r} h_{ij})\), where \(H_{\ell ijr}\) is the Berwald h-curvature tensor, p is an operator projecting on the indicatrix, \(h_{ij}\) is the angular metric tensor, and k is the curvature scalar.
A. Ram, B. B. Sinha
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Mathematische Annalen, 1999
The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature ...
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The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature ...
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