Ravichandran Ashwin held on to his top spot, while Ravindra Jadeja rose a rung to fifth in the all-rounders' chart of the latest ICC Test rankings, issued on Tuesday.
However, no Indian found a place in the top-10 of the batsmen's rankings even though Ashwin (2nd) and Jadeja (8th) represent the country in the bowlers' list.
Elsewhere, Kane Williamson is just two steps away from the top spot in the rankings for Test batsmen, which were released after the conclusion of the Dunedin and Hobart Tests.
Williamson earned the rise to third place, just three points off South Africa's AB de Villiers, thanks to two consistent knocks of 88 and 71, helping New Zealand extend its winning streak to 12 home Test victories in a row, after they beat Sri Lanka by 122 runs.
Williamson's team-mate Martin Guptill jumped a remarkable 18 places, after scoring 156 and 46.
He was rewarded with only his second man of the match award in Tests.
Black Caps skipper Brendon McCullum moved up two places to 17th, while his Sri Lanka opposite number Angelo Matthews marked the visiting side's presence in the top 10 batsman rankings, down a place to seventh.
Over in Hobart, Australia skipper Steven Smith dropped three places to fourth and is now just 11 points ahead of his team-mate David Warner.