This is a question about the intention/actions of Esau in Genesis 33.
We know Esau wanted to kill Jacob. See How did Rebekah know that Esau was planning to kill his brother in Genesis 27:42?
Some commentators also think that Genesis 32:6 (ESV) indicates that Esau had distinctly hostile intentions (Pulpit commentary).
And the messengers returned to Jacob, saying, “We came to your brother Esau, and he is coming to meet you, and there are four hundred men with him.”
Jacob's own reaction indicates that he viewed Esau's company as hostile (Genesis 32:7-8 ESV)
Then Jacob was greatly afraid and distressed. He divided the people who were with him, and the flocks and herds and camels, into two camps, 8 thinking, “If Esau comes to the one camp and attacks it, then the camp that is left will escape.”
But when Esau actually meets Jacob in Genesis 33:4 (ESV), his actions seem unexpected.
But (emphasis mine) Esau ran to meet him and embraced him and fell on his neck and kissed him, and they wept.
So why didn't Esau try to kill Jacob?
Links:
- Meta discussion on "Why didn't Joseph try to contact his father?" Is this question on topic?
- Why didn't Joseph try to contact his father from Egypt?