A cardiac valve prosthesis includes a frame and a set of prosthetic valve leaflets supported by the frame. The frame defines a principal axis of the cardiac valve prosthesis and includes first and second annular elements expandable from a radially contracted state to a radially expanded state, a plurality of valve supports supporting the leaflets, and a plurality of connecting members. The valve supports are angularly spaced from one another about the principal axis of the cardiac valve prosthesis, and the connecting members extend between and connect the first and second annular elements. When the annular elements are in the radially expanded state each of the connecting members arches radially outward with respect to the annular elements and is configured to project into one of the Valsalva sinuses when implanted. The connecting members are angularly spaced from the valve supports about the principal axis.
