An imaging optical system includes a plurality of lens groups each moving such that spaces between each one of the plurality of lens groups change during a zooming. The imaging optical system conjugates a conjugate point on a magnification side and an intermediate imaging position, and conjugates a conjugate point on a reduction side and the intermediate imaging position. The imaging optical system includes a first lens group located at a furthest place on the magnification side and a rear group in this order from the magnification side toward the reduction side. The first lens group includes a field curvature correction lens group moving along an optical axis when an amount of a field curvature is changed, and a focusing lens group. The imaging optical system satisfies condition (4) below:

|{(1cw.sup.2)crw.sup.2}/{(1fw.sup.2)frw.sup.2}|<0.2 (4)

A projection optical system is an optical system for projecting an image light flux formed in an image display element onto a projection surface, and includes a transmission optical system and a reflection optical system. The transmission optical system is located on an emission surface side of the image display element and includes a stop and a plurality of lenses. The reflection optical system includes a positive-power first mirror and a second mirror. Conditional Expression (1) is satisfied

0<TL/ft<10 (1)

where ft is a focal length of the transmission optical system, and TL is a distance parallel to an optical axis of the transmission optical system from a position where the first mirror reflects a principal ray of the image light flux, to the image display element.

In the zoom lens, a first optical system is formed on the magnification side, and a second optical system is formed on the reduction side, with the intermediate image formed between the first optical system and the second optical system. The second optical system consists of, in order from the magnification side, a first lens group that has a positive power, a second lens group that has a positive power, a third lens group that has a positive or negative power, and a fourth lens group that has a positive power. During zooming, the second lens group and the third lens group are moved by changing spacings between the groups adjacent to each other in a direction of an optical axis, and the fourth lens group remains stationary with respect to the reduction side imaging plane.

A variable magnification optical system including: in order from an object side, a first lens group G1 having a positive refractive power; a second lens group G2 having a negative refractive power; a third lens group G3 having a positive refractive power; a fourth lens group G4 having a positive refractive power; and a fifth lens group G5 having a negative refractive power, wherein, during zooming from a wide-angle end to a telephoto end, a distance between the first lens group G1 and the second lens group G2 changes, a distance between the second lens group G2 and the third lens group G3 changes, and a distance between the third lens group G3 and the fourth lens group G4 changes, during focusing from an infinity end to a closest object end, any one of the fourth lens group G4 or the fifth lens group G5 moves along an optical axis.