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Results tagged with dg.differential-geometry
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user 85681
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
13
votes
1
answer
421
views
A question on Riemannian manifolds without conjugate points
Consider the plane $\mathbb{R}^2$ with a complete metric $g$ without conjugate points. We will denote by $K$ the Gaussian curvature.
Question: Is there a constant $C >0$ such that $K(p) \leq C$, for …
- 285
4
votes
1
answer
613
views
Is there an example of a Killing vector field on a complete Riemannian manifold with finite ...
Is there a Killing vector field on a complete Riemannian manifold $M$ with finite volume that satisfies the condition
$$\displaystyle\liminf_{r\rightarrow +\infty} \displaystyle\frac{1}{r} \displayst …
- 285