Pith Number

pith:4VBVKJ7S

pith:2025:4VBVKJ7SWKLVKTFNSVWJOMKNXD

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Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes

Christian Lange, Jonas W. Peteranderl

Lorentzian isoperimetric inequalities admit optimal stability estimates measured by Fraenkel asymmetry with universal constants.

arxiv:2510.26755 v3 · 2025-10-30 · math.DG · math-ph · math.AP · math.MP

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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Claims

C1strongest claim

We establish optimal stability estimates in terms of the Fraenkel asymmetry with universal dimensional constants for a Lorentzian isoperimetric inequality due to Bahn and Ehrlich and, as a consequence, for a special version of a Lorentzian isoperimetric inequality due to Cavalletti and Mondino.

C2weakest assumption

The upgrade to Hausdorff stability relies on working inside a fixed conical Minkowski spacetime that supplies a natural Lipschitz bound from the causal structure; this assumption is invoked in the final section when the distance of Bahn and Ehrlich is applied to Cauchy hypersurfaces.

C3one line summary

Optimal stability estimates are established for Lorentzian isoperimetric inequalities of Bahn-Ehrlich and Cavalletti-Mondino using Fraenkel asymmetry, with quadratic or linear dependence and an upgrade to Hausdorff stability in conical Minkowski spacetime.

Formal links

2 machine-checked theorem links

Cited by

2 papers in Pith

Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces

Receipt and verification

First computed	2026-07-20T02:19:16.126911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5435527f2b297554cad956c97314db8ede31af21b753d1040f5e4db8931da1d

Aliases

arxiv: 2510.26755 · arxiv_version: 2510.26755v3 · doi: 10.48550/arxiv.2510.26755 · pith_short_12: 4VBVKJ7SWKLV · pith_short_16: 4VBVKJ7SWKLVKTFN · pith_short_8: 4VBVKJ7S

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4VBVKJ7SWKLVKTFNSVWJOMKNXD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e5435527f2b297554cad956c97314db8ede31af21b753d1040f5e4db8931da1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3fa0da640f131d087dd822ce676175bd4ecb6fbb96e661a62a042c285cafa8",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-10-30T17:47:53Z",
    "title_canon_sha256": "d2562153e4a2ec58a0c44f33140d6ce36f57ff27784e82483c0a8f4cbb9ad313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.26755",
    "kind": "arxiv",
    "version": 3
  }
}