论文标题
带有均匀球形空间形式的捆绑包，作为纤维和光纤四分之一捏的riemannian指标
Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics
论文作者
论文摘要
让$ e $是光纤和$ n $二维的真实投影空间$ \ mathbb {r} p^n $的平滑捆绑包。我们表明，如果每种纤维都携带一个正面弯曲的弯曲，则强烈的$ 1/4 $ pinched的riemannian度量与其基点相对于其基点持续变化，则捆绑包的结构组将减少到$ \ mathbb {r} p^n $上的标准圆度度量的等轴测组。
Let $E$ be a smooth bundle with fiber an $n$-dimensional real projective space $\mathbb{R}P^n$. We show that, if every fiber carries a positively curved pointwise strongly $1/4$-pinched Riemannian metric that varies continuously with respect to its base point, then the structure group of the bundle reduces to the isometry group of the standard round metric on $\mathbb{R}P^n$.
