Almost-splitting of spacetimes under timelike sectional curvature bounds VCHH2AC34R

URI	`m2://res/VCHH2AC34R`
Kind	preprint
Creators	Nicola Gigli, Melanie Graf, Robert J. McCann, Argam Ohanyan, Eric Woolgar, Matteo Zanardini
Date	2026-10-07
MSC	53-XX, 51-XX, 52-XX
Subjects	arxiv math.DG, arxiv gr-qc, arxiv math.MG
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-07
Ids	arXiv 2610.10051, zbl_id 903202597

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Approximate Busemann functions	definition	definition 3.13	arxiv
Subgradient of the Lorentzian distance to a point	statement	lemma 3.4	arxiv
Synchronous} expansion rate estimate for causally $\lambda$-convex gradient flows	statement	proposition 3.3	arxiv
Metric spacetimes	definition	definition 2.6	arxiv
The future and past flow maps	definition	definition 3.16	arxiv
5T47CSAYZB	statement	corollary 3.21	arxiv
Simplified asynchronous} expansion rate estimates	statement	corollary 3.8	arxiv
Almost linearity of the Busemann functions along the flow	statement	proposition 3.15	arxiv
Lorentzian products	statement	lemma 2.10	arxiv
Causal $\lambda$-convexity and concavity	definition	definition 2.14	arxiv
Flow metrization of a spacelike slice	statement	proposition 3.18	arxiv
Timelike sectional curvature bounds	definition	definition 2.1	arxiv
Almost Pythagoras formula	statement	proposition 3.17	arxiv
F49KPZTMPQ	statement	proposition 2.5	arxiv
Almost-splitting under timelike sectional curvature bounds	statement	theorem 1.2	arxiv
Existence and stability of gradient flows	statement	theorem 2.18	arxiv
Examples of metric spacetimes	example	example 2.7	arxiv
Lorentzian products	definition	definition 2.9	arxiv
Anti-)causal functions, $c$-steepness	definition	definition 2.12	arxiv
Asynchronous} expansion rate estimate for $\mathrm{md}^{-\delta} \circ F$	statement	proposition 3.7	arxiv
Almost monotonicity for the gradient flow	statement	lemma 3.10	arxiv
Quantitative causal $\lambda$-convexity of modified time separations	statement	theorem 2.15	arxiv
Upstream expansion rate estimate for $\mathrm{md}^{-\delta} \circ F$	statement	proposition 3.6	arxiv
Estimate on the Busemann sum	statement	proposition 3.14	arxiv
Causal subdifferential	definition	definition 2.16	arxiv
Almost symmetry	statement	proposition 3.19	arxiv
Lorentzian Gromov--Hausdorff distance	definition	definition 2.8	arxiv
Asynchronous} expansion rate estimate for the reparametrized flow	statement	proposition 3.12	arxiv
Lorentzian Toponogov theorem -- convexity version	statement	theorem 2.4	arxiv
Causally convex sets	definition	definition 2.13	arxiv
Almost-splitting under timelike sectional curvature bounds	statement	theorem 3.1	arxiv
Beem--Ehrlich--Markvorsen--Galloway	statement	theorem 1.1	arxiv
Timelike triangle comparison	statement	theorem 2.3	arxiv
Monotonicity of the causal subdifferential	statement	lemma 2.17	arxiv
Monotonicity formula for the modified flow	statement	lemma 3.9	arxiv
Down}stream expansion rate estimate for $\mathrm{md}^{-\delta} \circ F$	statement	proposition 3.5	arxiv

Catalogue records

arxiv: 2610.10051 (work)
arxiv_text: 2610.10051 (work)
zbmath_search: 903202597 (work)