Wen Shen

collaborators

3 papers

math.AT2025

Classification for smooth manifolds looking like $CP^{3} \times S^{7}$

Wen Shen

In this paper, we classify simply connected closed smooth $13$ -dimensional manifolds whose cohomology ring is isomorphic to that of $\mb{CP}^3\times S^7$, up to diffeomorphism, hom…

math.DG2025

Non-negative curvature on certain product manifolds

Wen Shen

Let $G / H$ be a closed, simply connected homogeneous manifold. Suppose every stable class of real vector bundles over $G / H$ contains a homogeneous bundle. Then, for any closed, simp…

math.GT2025

On the topology and geometry of certain $13$ -manifolds

Wen Shen

This paper gives the classifications of certain manifolds $M$ of dimension $13$ up to diffeomorphism, homeomorphism, and homotopy equivalence, whose cohomology rings are…

Classification for smooth manifolds looking like CP3×S7

Non-negative curvature on certain product manifolds

On the topology and geometry of certain 13-manifolds

Classification for smooth manifolds looking like $CP^{3} \times S^{7}$

On the topology and geometry of certain $13$ -manifolds