How To Use Riemannian In A Sentence
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The b -boundary is the projection into a space-time of a natural boundary attached to a higher-dimensional Riemannian manifold.
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This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
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Given a closed Riemannian manifold M, we construct a suitable class of perturbations to achieve Morse-Smale transversality for the heat equation.
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The Lorentzian manifold is a pseudo-Riemannian manifold, the generalization of the Riemannian manifold, such that the metric tensor need not be positive-definite.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element
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“Habilitationsschrift” (1868); and as an immediate ap - plication of it he outlined the so-called Riemannian
SPACE
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To connect this point of view with the classical theory of surfaces, such an abstract surface is embedded into R 3 and endowed with the Riemannian metric given by the first fundamental form.
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It can be excluded with data dependent way based on Riemannian geometry for improved SVM.
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A Riemann surface is typical of the case, where you have the intersection of one universe, with the tangential impact of another universe upon it - [that's a] typical Riemannian surface.
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A familiar Riemannian manifold is a Euclidean manifold (where one has to add a smoothly varying inner product on the tangent space of the standard Euclidean space), with the familiar Euclidean (distance) metric (our 3-space, for example).
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element
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Some informal background: a Riemannian manifold is a differentiable manifold (where the tangent space at each point has an inner product) with a positive-definite metric tensor, d (x, y) ≥ 0.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element
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During the second semester I first covered aspects of Riemannian, symplectic, Kahler and spin geometry.
Not Even Wrong
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Among other results, he classified simply connected Riemannian 3-manifolds of constant curvature in this thesis.
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The b -boundary is the projection into a space-time of a natural boundary attached to a higher-dimensional Riemannian manifold.
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Weyl opened the way to the conformal differential geometry of Riemannian spaces in which one studies the properties of the spaces invariant under the so-called conformal transformation of the Riemannian metric.
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Some informal background: a Riemannian manifold is a differentiable manifold (where the tangent space at each point has an inner product) with a positive-definite metric tensor, d (x, y) ≥ 0.
Bad Language: “Riemannian Manifold”
