Product of generalized $p-$K\"ahler manifolds
Lucia Alessandrini
TL;DR
This paper investigates the properties of products of generalized p-K"ahler manifolds, extending known results and providing new examples, with implications for both compact and non-compact cases.
Contribution
It extends the theory of p-K"ahler manifolds to their products, broadening understanding and offering new non-trivial examples in the field.
Findings
Extended known results to generalized p-K"ahler products
Provided optimal results in the compact case
Generated new examples of generalized p-K"ahler manifolds
Abstract
A product of K\"ahler manifolds also carries a K\"ahler metric. In this short note we would like to study the product of generalized K\"ahler manifolds, compact or not. The results we get extend the known results (balanced, SKT, sG manifolds), and are optimal in the compact case. Hence we can give new non-trivial examples of generalized K\"ahler manifolds.
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