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5 results for “c-completion”

The c-completion of Lorentzian metric spacesgr-qc

Researchers extend the concept of metric spaces to Lorentzian spaces and prove the feasibility of their c-completion.

problem Extending the concept of metric spaces to Lorentzian spaces and proving their c-completion.

method Revisiting Lorentzian metric spaces, constructing c-completion, proving feasibility and endowing with Lorentzian metric space structure.

result The c-completion of Lorentzian metric spaces is feasible and well-suited, completing the original space in a precise sense.

Lorentzian metric spaces c-completion metric spaces causal properties low regularity spacetimes

2023-05-03abs ↗pdf ↗

The causal structure of the c-completion of warped spacetimesgr-qc

Study causal structure of warped spacetimes using novel pre-length spaces.

problem Understanding the causal structure of warped spacetimes.

method Novel notion of Lorentzian pre-length spaces and proof of causal completion as globally hyperbolic pre-length space.

result Causal completion of GRW spacetime is a globally hyperbolic pre-length space under Hausdorff chronological topology.

causal completion warped spacetimes pre-length spaces globally hyperbolic Lorentzian

2025-09-29abs ↗pdf ↗

On the Riemannian Geometry of tangent Poisson-Lie groupmath.DG

The paper studies geometric properties of tangent Poisson-Lie groups.

problem Geometric properties of tangent Poisson-Lie groups.

method Expressed Levi-Civita connection, curvature, and metacurvature of tangent Poisson-Lie groups in terms of the base group.

result Proved that the space of differential forms on a Poisson-Lie group is a differential graded Poisson algebra if and only if the space on its tangent Poisson-Lie group is.

Poisson-Lie groups tangent Poisson-Lie groups Levi-Civita connection curvature metacurvature

2020-01-07abs ↗pdf ↗

On an Index Theorem of Chang, Weinberger and Yumath.KT

In this paper we prove a strengthening of a theorem of Chang, Weinberger and Yu on obstructions to the existence of positive scalar curvature metrics on compact manifolds with boundary. They construct a relative index for the Dirac operator, which lives in a relative K-theory group, measuring the difference between the…

2018-11-20abs ↗pdf ↗

Minimal triangulations of sphere bundles over the circlemath.GT

For integers $d \geq 2$ and $ε= 0$ or 1, let $S^{1, d - 1}(ε)$ denote the sphere product $S^{1} \times S^{d - 1}$ if $ε= 0$ and the twisted $S^{d - 1}$ bundle over $S^{1}$ if $ε= 1$ . The main results of this paper are: (a) if $d \equiv ε$ (mod 2) then $S^{1, d - 1}(ε)$ has a unique minimal triangulation using $2d + 3$ …

2006-10-27abs ↗pdf ↗