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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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7 results for “Horowitz-Myers geon”

A Minkowski inequality for Horowitz-Myers geonmath.DG

Proves a sharp inequality for toroidal surfaces in Horowitz-Myers geon.

problem Extending Minkowski inequality to non-static spacetimes.

method Proves a sharp inequality for toroidal hypersurfaces in Horowitz-Myers geon.

result Sharp inequality for toroidal surfaces in asymptotically hyperbolic manifold.

Minkowski inequality Horowitz-Myers geon toroidal surfaces asymptotically hyperbolic

2021-03-12abs ↗pdf ↗

The rigidity statement in the Horowitz-Myers conjecturemath.DG

Paper proves Horowitz-Myers conjecture in 3-7 dimensions.

problem Proving Horowitz-Myers conjecture in specific dimensions.

method Alternative proof and local isometry demonstration.

result Metrics achieving conjecture equality locally match Horowitz-Myers metrics.

Horowitz-Myers conjecture dimension 3-7 metric rigidity local isometry

2025-04-23abs ↗pdf ↗

Metrics of Horowitz-Myers type with the negative constant scalar curvaturemath.DG

Constructs metrics with negative constant scalar curvature.

problem Negative constant scalar curvature metrics.

method One-parameter family of complete metrics.

result Verifies positive energy conjecture for these metrics.

Horowitz-Myers metrics negative scalar curvature positive energy conjecture

2020-10-05abs ↗pdf ↗

Systolic inequalities and the Horowitz-Myers conjecturemath.DG

The study proves a new positive energy theorem for manifolds with specific curvature properties.

problem Proving a new positive energy theorem for manifolds with specific curvature properties.

method Establishing a systolic inequality relating boundary mean curvature to the systole of the boundary.

result Obtaining a new positive energy theorem, with equality for Horowitz-Myers metrics.

systolic inequalities positive energy theorem Riemannian metrics scalar curvature mean curvature

2024-06-06abs ↗pdf ↗

The positive energy conjecture for a class of AHM metrics on

\mathbb{R}^{2}\times\mathbb{T}^{n-2}

math.DG

Proves positive energy conjecture for a specific metric class.

problem Proving the positive energy conjecture for a class of AHM metrics.

method Analyzes asymptotically Horowitz-Myers (AHM) metrics on

\mathbb{R}^{2} imes\mathbb{T}^{n-2}

result Generalizes previous results on positive energy conjecture.

positive energy conjecture AHM metrics Horowitz-Myers metrics asymptotically flat

2021-09-13abs ↗pdf ↗

The Ricci flow of the `RP3 geon' and noncompact manifolds with essential minimal spheresmath.DG

It is well-known that the Ricci flow of a closed 3-manifold containing an essential minimal 2-sphere will fail to exist after a finite time. Conversely, the Ricci flow of a complete, rotationally symmetric, asymptotically flat manifold containing no minimal spheres is immortal. We discuss an intermediate case, that of …

2010-04-11abs ↗pdf ↗

The rigid Horowitz-Myers conjecturemath.DG

The "new positive energy conjecture" Horowitz and Myers (1999) probes a possible nonsupersymmetric AdS/CFT correspondence. We consider a version formulated for complete, asymptotically Poincaré-Einstein Riemannian metrics $(M,g)$ with bounded scalar curvature $R\ge -n(n-1)$ . This version then asserts that any such $(M,…

2016-02-19abs ↗pdf ↗