After 2 hours, I give up and I ask for help to the woocommerce community.
The product data tabs isn't displayed in the single product page on my online server.
Whereas on my local server (MAMP) It works perfectly (review form and extra informations are displayed correctly).
I use to override the woocommerce templates by creating my templates in the woocommerce directory, located in my theme folder.
Moreover I noticed a difference between my local and online System Status in the HTML models part :
local :
/woocommerce/content-single-product.php,
online :
/content-single-product.php,
Of course I uploaded my file in the same folder. I don't if there is a link with my issue but I no longer have any idea.