But Redirect module only allows me to create redirects from relative path which affects as follows all my domains.
So how to create domain-specific redirect?
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You can perform multisite redirect by using Multisite Redirect module.
Multisite Redirect is a system designed to allow users to create and manage URL redirects across domains in a sort of multisite configuration. The primary use case for this module is one where a client might have multiple domains that are being consolidated into a single site.
You can do this by using Domain Redirect module.
This module allows the creation of an internal Drupal path that will direct the user to a unique path based on the domain that the user is in. The link is based at the path "/domain-redirect/12345" where "12345" is the redirect ID that is stored in the database.
Try to use Domain Default Redirection module.
This small module provides a redirection feature instead of providing the default domain contents in the Domain Access suite.