A method for the construction of classes of examples of multi-dimensional, multi-component Dubrovin-Novikov brackets of hydrodynamic type is given. This is based on an extension of the original construction of Gelfand and Dorfman which gave examples of Novikov algebras in terms of structures defined from com- mutative, associative algebras. Given such an algebra, the construction involves only linear algebra.

中文翻译：

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多维 Dubrovin-Novikov 括号的构造

给出了一种构造水动力类型的多维、多分量 Dubrovin-Novikov 支架实例类的方法。这是基于 Gelfand 和 Dorfman 的原始构造的扩展，它们根据交换、结合代数定义的结构给出了 Novikov 代数的例子。给定这样的代数，构造只涉及线性代数。