Dandy Walker variant may manifest through neurological symptoms if the pressure is high within the brain, but this is not common in a newborn with fontanelles ("soft spot" in the skull) that are still open. Isolated closure of the eyes without other neurological symptoms is not likely to be due to the Dandy Walker variant by itself.
Newborn infants often appear to keep their eyes closed for prolonged periods of time (seemingly for hours or days) but will spontaneously open their eyes if under constant observation. As long as there are no physical signs of eye swelling or structural abnormality, the baby should be able to open the eyes.
If no one has observed the baby opening the eyes at any time during the first 6 days, it may be worthwhile to ask your pediatrician to exam your baby again and perhaps get a referral to a pediatric ophthalmologist if he/she cannot examine the eye adequately.
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