Hi Laurent,
Following are the SAP notes which would provide you the list of supported copmoments for dashboard on Mobile.
1871409 - Supported components/charts/connections on Dashboard for Mobile
1959380 - Best Practices to create Dashboards for iPad/Tablets viewed using SAP BI Mobile Application
Also in order to use maps in Ipad you could go through the following link
BO Reporting (Client &Mobile) and GEO Maps
Hope this helps.
Regards,
Noopur