Scholars@Duke
Conghan Dong

Conghan Dong

William W. Elliott Assistant Research Professor of Mathematics
Mathematics

Current Appointments & Affiliations

William W. Elliott Assistant Research Professor of Mathematics · 2025 - Present Mathematics, Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics · 2025 - Present Mathematics, Trinity College of Arts & Sciences

Recent Publications

Stability of Euclidean 3-space for the positive mass theorem

Journal Article Inventiones Mathematicae · January 1, 2025 We show that the Euclidean 3-space R3 is stable for the Positive Mass Theorem in the following sense. Let (Mi,gi) be a sequence of complete asymptotically flat 3-manifolds with nonnegative scalar curvature and suppose that the ADM mass m(gi) of one end of ... Full text Cite

Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics

Journal Article Journal of Mathematical Study · January 1, 2025 In this note, we prove some gap theorems of asymptotic volume ratio for Ricci nonnegative metrics, and gap theorems of volume for Einstein metrics. ... Full text Cite

Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds

Journal Article Annales Mathematiques Du Quebec · October 1, 2024 In this paper, we show that for a sequence of orientable complete uniformly asymptotically flat 3-manifolds (Mi,gi) with nonnegative scalar curvature and ADM mass m(gi) tending to zero, by subtracting some open subsets Z Full text Cite
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