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The parts compose the whole piece, but the whole film is something far greater, a full statement, a complete and connected narrative.... as disarming and defamiliarizing as Dylan's music.
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Proposition 4.6 Let ( M, F, d μ ) be a complete and simply connected Finsler n-manifold with nonpositive S-curvature.
Theorem 4.5 Let ( M, F, d μ ) be a complete and simply connected Finsler n-manifold, with nonpositive flag curvature and nonpositive S-curvature.
The hyperbolic space (mathbb{H}^{n}) ((ngeq 2)) is a complete and simply connected Riemannian manifold and has constant curvature equal to −1.
Let M be a complete, connected, simply connected Riemannian manifolds of constant sectional curvature.
Let D be a complete simply connected surface and A denote the area of D. Then begin{aligned} lambda_{1}(D)geqfrA}{4pi}{A}.
I felt complete serenity and connected with what those models must have felt when posing for Picasso.
Yang, Su and Kong [15] considered the (L^{p} -Hardy inequaL^{p} -Hardycomplete, sinequalitiested Riemannian manifond with negative completee.
Let (X,d) be a complete, pathwise connected metric measure space with a locally Ahlfors Q-regular measure μ, where Q>1.
A Hadamard manifold E is a complete simply connected Riemannian manifold of nonpositive sectional curvature.
For a complete (fully connected) graph such an estimator is simply the observed variance-covariance matrix.
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