To ask the question more exactly, is there a term for a form of the verb that is a) not marked for tense, and b) can syntactically pattern like a noun-phrase or like a noun-modifier depending on the syntactic context?
The term I'm looking for need not be uniformly applicable and unambiguous for all languages.
From what I've read, the definitions of terms such as "gerund," "gerundive," and "participle" each vary depending on the language that the users of these terms are describing. See, for example, this LSE post on the term "gerund": Can the term "gerund" be linguistically defined?Can the term "gerund" be linguistically defined?
However, if there is a term for a type of verb that meets criteria a) and b) above, even if this term has only applies to descriptions of a small number of languages, I'd like to know what the term is, even if it turns out to be "participle," "gerundive," or "gerund."