MAX - I understand that many other worlds have been created. My questions are: Was there a Savior provided for those other worlds, and if so, who was it? It does not make sense that Jesus would have been born also on other worlds, but we are taught that these worlds were created by Him.

JOEL - From what I have gathered from my studies on this subject so far, is that Jesus was not born over and over again on other worlds but that He is the Savior for all the worlds He created; we just happen to be the lucky one that He came to, to obtain His body and bring about the atonement and resurrection.
The most probable reason why Jesus came to this planet is because it was the most wicked of all of His creations, and would therefore most likely be the one that would put Him to death:

"Wherefore, I can stretch forth mine hands and hold all the creations which I have made; and mine eye can pierce them also, and among all the workmanship of mine hands there has not been so great wickedness as among thy brethren. (Moses 7:36).

In a poetic paraphrase of Doctrine and Covenants 76, Joseph Smith wrote that Jesus Christ was not only the Creator but also the Savior of all the worlds:

"And I heard a great voice bearing record from heav'n,
He's the Saviour, and only begotten of God -
By him, of him, and through him, the worlds were all made,
Even all that career in the heavens so broad,
Whose inhabitants, too, from the first to the last,
Are sav'd by the very same Saviour of ours;
And, of course, are begotten God's daughters and sons,
By the very same truths, and the very same pow'rs."
(Times and Seasons, 1 Feb. 1843, 82-83)

Concerning the universality of the Savior's work, Elder Marion G. Romney declared:

"Except for his mortal ministry accomplished on this earth, his service and relationship to other worlds and their inhabitants are the same as his service and relationship to this earth and its inhabitants" (Improvement Era, Nov. 1968, 46).

Elder Bruce R. McConkie said:

“When the prophets speak of an infinite atonement, they mean just that. Its effects cover all men, the earth itself and all forms of life thereon, and reach out into the endless expanse of eternity. … And through the power of his atonement the inhabitants of these worlds, the revelation says, ‘are begotten sons and daughters unto God’ (D&C 76:24), which means that the atonement of Christ, being literally and truly infinite, applies to an infinite number of earths” (Mormon Doctrine, 2nd ed., Salt Lake City: Bookcraft, pp. 64, 65).

Even though Christ probably did not live and die on other planets, there is no doubt that He must have visited them and set up His kingdom and Gospel on them through His prophets.

I must advise however, that even though the above references seem to suppport the fact that the atonement Jesus performed on this earth applies to all worlds, I think it is best to not come to any hard conclusions on the subject until we receive more revelation from God.