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No, as long as both parties appear in the divorce case in the US, India should recognize the validity of the US divorce under the doctrine of comity.
"The key rule laid by the Supreme Court can be summed up as follows: If a couple is married under Hindu law, (a) the foreign court that grants divorce must be acceptable under Hindu law; and (b) the foreign court should grant divorce only on the grounds which are permissible under Hindu Law." from page 4 of
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