Information about public transport from the airport is available here http://www.riga-airport.com/en/main/passengers/useful-information/getting-to-the-airport   You can also take Baltic Taxi (green ones) http://baltictaxi.lv/contatcs.html. The drive from the airport to the city center costs approx. 15 EUR. The taxi stops in the front of the airport exit.   The Airport Express goes to several hotels in the city center http://www.airbaltic.com/public/airport_express.html?&doc_print=1 The Airport Express stops in the front of airport exit. The ride costs 3 LVL (5 EUR). It is a very convenient way to get to the hotel.