From the 18th century till 1980s there led one hiking trail to
Krivanske zelene pleso (Krivanske green lake; 2013 m). Its maximum depth is 23 meters. Seen from the
Maly Krivan (2334 m) what is the last monticule before you reach the summit of
Krivan (2495 m).
There are some ledges on east face of Krivan and Maly Krivan (visible on the photo directing rightwards down) wide enough to offer many
possibilities for
skialpinism towards the lake from here. It is forbidden, but rangers will rather see you here than in some area where protected chamois live. Hovewer the wall offers also
climbing routes up to V grade UIAA (and 300 meters long). You may also legally ascend Krivan via
marked hiking trail, of course ;)