When a noun is followed by a phrase or clause that identifies it, that means the noun is specific and particular. Here the noun 'name' is made specific by the clause "of that man we met yesterday". For such nouns, we use the article 'the' which is a definite article. Hence option C is correct. Options A and B are incorrect because they're indefinite articles used before nouns that are non- specific, and the noun here is specific (we are referring to a specific name). 'No article' is required when the noun is uncountable, a proper noun, or a general noun. The given noun is none of these hence option D is incorrect.