Nominative Contraction

Is there a dedicated term for deletion of the final stem syllable in nominative forms (e.g. Greek 3rd declension class and Ukrainian 4th declension class nouns, deletion of -er syllable in words for mother/daughter/brother in various Slavic languages etc.)? Does this phenomenon occur in other inflected Indo-European languages, such as Sanskrit, and is it a result of independent development rather than some common PIE process?