Xiaoli Han

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math.DG2026

Morse Index of a $G_{2}$ -Instanton over $S^{7}$

Xiaoli Han, Yang Wen

A classical result states that every nonflat Yang--Mills connection on the unit round sphere $S^{n}$ , $n \geq 5$ , has Morse index at least $n + 1$ . In this paper, we prove that the pullba…

math.DG2026

The stability of Yang-Mills connections on $δ$ -pinched manifolds

Xiaoli Han, Yang Wen

In this article, we establish pinching conditions under which all weakly stable Yang-Mills connections on compact manifolds are flat. As a corollary, we provide a dimension-depende…

math.DG2026

Nonexistence of weakly stable Yang-Mills fields

Xiaoli Han, Yang Wen

In this paper we prove that there is a neighborhood in the $C^{2}$ topology of the usual metric on the Euclidean sphere $S^{n} (n \geq 5)$ such that there is no nontrivial weakly stable…

Morse Index of a G2​-Instanton over S7

The stability of Yang-Mills connections on δ-pinched manifolds

Nonexistence of weakly stable Yang-Mills fields

Morse Index of a $G_{2}$ -Instanton over $S^{7}$

The stability of Yang-Mills connections on $δ$ -pinched manifolds