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Let $n>2$ , $\mathrm{\gamma <\#comment/>}>\frac{n-<\#comment/>1}{n-<\#comment/>2}$ , and $\mathrm{\lambda <\#comment/>}\in <\#comment/>\mathbb{R}$ . We prove that if $M$ and $N$ are two smooth $n$ -manifolds that admit a complete Riemannian metric satisfying\[ $-<\#comment/>\mathrm{\gamma <\#comment/>}\mathrm{\Delta <\#comment/>}+\mathrm{R}\mathrm{i}\mathrm{c}>\mathrm{\lambda <\#comment/>},$ \]then the connected sum $M\mathrm{\#<\#comment/>}N$ also admits such a metric. The construction geometrically resembles a Gromov-Lawson tunnel; the range $\mathrm{\gamma <\#comment/>}>\frac{n-<\#comment/>1}{n-<\#comment/>2}$ is sharp for this to hold. 

Abstract Mimicking the human eye’s ability to autonomously adapt to diverse and mixed illumination conditions remains a fundamental challenge in artificial vision systems. Although substantial progress has been made in materials and device engineering, current adaptive vision architectures still depend heavily on complex circuitry or algorithms and are typically restricted to uniform illumination owing to the strong intensity-dependence of photosensitivity. Here, this work presents a highly adaptive TiO₂/PEDOT:PSS photomemristor that leverages the tunable conductivity of PEDOT:PSS together with the optoelectronic response of TiO₂. The photothermal effect dynamically modulates the water absorption/desorption equilibrium in PEDOT:PSS, enabling reversible suppression or enhancement of photosensitivity under bright or dim illumination, respectively. By combining with artificial neural networks (ANNs), the artificial vision system based on TiO₂/PEDOT:PSS photomemristor arrays achieves a high accuracy of 91.3% in image recognition under mixed-light conditions—without the need for complex circuitry or algorithms. This work may establish a new approach for designing autonomous, efficient, and high-performance neuromorphic vision systems to advance the development of autonomous driving and humanoid robots. 

ABSTRACT We show that a complete contractible 3‐manifold with positive scalar curvature and bounded geometry must be . We also show that an open handlebody of genus larger than 1 does not admit complete metrics with positive scalar curvature and bounded geometry. Our results rely on the maximal weak solution to inverse mean curvature flow due to the third‐named author. 

This study demonstrates an EC-assisted SF electrospinning method with a green ethanol post-processing step. Overcoming pure SF limitations, it enables efficient synthesis of SF nanofibers to broaden SF-based material applications.