The latest work by A.R. Gurney will round out the 2009-10 season at Lincoln Center Theater, with the scribe’s play “The Grand Manner” bowing on LCT’s Off Broadway stage in the spring.Mark Lamos helms the show, which is loosely based on Gurney’s backstage meeting with legit thesp Katharine Cornell during her Tony-nommed stint in “Antony and Cleopatra” in 1948. Lamos previously directed Gurney’s 2004 play “Big Bill” at LCT. “Grand Manner” becomes the third offering of the season at LCT’s Mitzi E. Newhouse Theater, after “Broke-ology,” which kicks off this week, and “When the Rain Stops Falling” in the winter. No casting for “Grand Manner” has been announced. Show begins previews May 27 ahead of a June 24 opening.