New Zealand rode on superb knocks from veterans Williamson (52*) and Taylor (47*) to win the World Test Championship final by 8 wickets at the Rose Bowl on Day 6.
Rohit Sharma (30) was watchful until Tim Southee trapped him in front of the wicket towards the end of the day's play in Southampton on Tuesday.
For Pietersen, the final of an event like this should always be held in Dubai, where there is minimal chance of weather-related interruptions.
Jamieson was the star of the day for New Zealand as he picked up his fifth 5-wicket haul to help New Zealand bundle India out for 217 on day 3 of WTC final in Southampton.
The skipper got good support from Ajinkya Rahane - 29 not out off 79 balls - in the final session where bad light stopped play twice before umpires called it a day.
The first day's play being abandoned means that if required, four hours of play will be possible on the sixth day which is reserved for a result.
Rain is forecast on all five days of the game and that saw the ICC add a reserve day to the playing conditions.
Shane Warne, the world's second highest wicket-taker in Test cricket, gave Virat Kohli's team more chance to win the WTC title.
New Zealand head into the fixture on the back of a 1-0 Test series victory over hosts England last week while the last red-ball match India featured in was in March.
Team India has been known to have quality batsmen over the years, but the former India opener feels the team has dominated Test cricket consistently in the last few seasons due to the strength in the bowling attack.