Xiaoyang Chen

activity

20142024

most citedMSQ-Index: A Succinct Index for Fast Graph Similarity Search

2 citations · 3 across the 7 of their papers we have counts for

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math.DG2014

Real affine varieties of nonnegative curvature

Xiaoyang Chen

Let $X_{C}$ be a smooth real affine variety with compact real points $X_{R}$ . We show that $X_{C}$ is diffeomorphic to the normal bundle of $X_{\mathbb{R…

math.DG2014

Finiteness of prescribed fibers of local biholomorphisms: a geometric approach

Xiaoyang Chen, Frederico Xavier

Let $X$ be a Stein manifold of complex dimension at least two, $F : X \to C^{n}$ a local biholomorphism, and $q \in F (X)$ . In this paper we formulate sufficient cond…

math.DG2014

Riemannian submersions from compact four manifolds

Xiaoyang Chen

We show that under certain conditions, a nontrivial Riemannian submersion from positively curved four manifolds does not exist. This gives a partial answer to a conjecture due to F…

math.DG2014

Rigidity theorems for submetries in positive curvature

Xiaoyang Chen, Karsten Grove

We derive general structure and rigidity theorems for submetries $f : M \to X$ , where $M$ is a Riemannian manifold with sectional curvature $sec M \geq 1$ . When applied to a non-tri…