  The effects of uniaxial strain on the structural, orbital, optical, and
magnetic properties of LaMnO_3 are calculated using a general elastic energy
expression, along with a tight-binding parameterization of the band theory.
Tensile uniaxial strain of the order of 2 % (i.e., of the order of magnitude of
those induced in thin films by lattice mismatch with substrates) is found to
lead to changes in the magnetic ground state, leading to dramatic changes in
the band structure and optical conductivity spectrum. The magnetostriction
effect associated with the Neel transition of bulk(unstrained) LaMnO_3 is also
determined. Due to the Jahn-Teller coupling, the uniform tetragonal distortion
mode is softer in LaMnO_3 than in doped cubic manganates. Reasons why the
observed (\pi \pi 0) orbital ordering is favored over a (\pi \pi \pi)
periodicity are discussed.
