'Manifestation' in the Bible

Then God said to Jacob, “Go up to Bethel and live there, and make an altar there to God, who appeared to you [in a distinct manifestation] when you fled [years ago] from Esau your brother.”

Then God [in a visible manifestation] appeared to Jacob again when he came out of Paddan-aram, and declared a blessing on him.

and they saw [a manifestation of] the God of Israel; and under His feet there appeared to be a pavement of sapphire, just as clear as the sky itself.

Yet He did not stretch out His hand against the nobles of the Israelites; and they saw [the manifestation of the presence of] God, and ate and drank.