AI Networking Cookbook: Practical recipes for AI-assisted network automation and development
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Let $(X,\omega)$ be a compact Gauduchon and astheno-K\"ahler manifold. Using $L^p$-approximate critical Hermitian structures, we establish a sharp generalized Bogomolov inequality for holomorphic vector bundles on $X$, without any semistability assumption. We further characterize the equality case by studying the Hermi...
Let $(X,\omega)$ be a compact Gauduchon manifold and let $E$ be a holomorphic vector bundle on $X$. We establish equivalent conditions for the existence of a Hermitian metric on $E$ with nonpositive mean curvature. For a non-uniruled compact K\"ahler manifold $X$ satisfying $\mu_{\omega_0,\max}(T_X)=0$ for some Gauduch...
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