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A Heat Kernel Lower Bound for Integral Ricci Curvature

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Xianzhe Dai, Guofang Wei

Differential Geometry · Submitted 27 Oct 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this note we give a heat kernel lower bound in term of integral Ricci curvature, extending Cheeger-Yau's estimate.

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arXiv IDmath/9810156 (version 1)
Pith IDLSVAH4BO, Pith's permanent record of this paper and its review
CitationGuofang Wei, Xianzhe Dai. "A Heat Kernel Lower Bound for Integral Ricci Curvature." arXiv:math/9810156 (1998). https://pith.science/paper/LSVAH4BO
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,591 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.37 · compares with prior results 0.87 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this note we give a heat kernel lower bound in term of integral Ricci curvature, extending Cheeger-Yau's estimate.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this note we give a heat kernel lower bound in term of integral Ricci curvature, extending Cheeger-Yau's estimate. contribution 0.89 0.94 0.93 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this note we give a heat kernel lower bound in term of integral Ricci curvature, extending Cheeger-Yau's estimate.

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