Given N points I need to find Closest point to all the points in plane in less than O(n^2).

The distance used is Euclidean distance.

I came to know that for any metric distance we can use kd-Tree to solve such problems. (I may be wrong)

I also came to know that for chebychev distance the problem can be solved using orthogonal range querying and manhattan distance problem can also be converted into chebychev distance problem.

Is there any way to solve Euclidean distance problem more easily with some other trick?