is this king supposed to have composed anything else?
Yes - an incomplete biography of his father Vikramaditya VI, called "Vikramankabhyudaya."
Someshvara III
He also authored, in Sanskrit, an incomplete biography of his father Vikramaditya VI, called "Vikramankabhyudaya." His scholarly pursuits was the reason he held such titles as "Sarvadnya-bhupa" ("lit", "the king who knows everything") and "Bhulokamala" ("the king who is lord of all living beings").
which dynasty succeeded the chalukyas in western india UNANSWERABLE when were they in power? Between the 6th and the 12th centuries and what was the extent of their empire? Southern and central India in Karnataka, Maharashtra and coastal Konkan. can you name some important texts composed during this period? Mitakshara, Manasollasa, Prabhrita, Chudamani who composed the first one? Vijnaneshwara can you name some places where remnants of their architectural grandeur are extant? Nearly a hundred monuments built by them, rock cut (cave) and structural, are found in the Malaprabha river basin in modern Bagalkot district of northern Karnataka; Lad Khan Temple which deity is the last temple you mentioned dedicated to? UNANSWERABLE who composed the second text you mentioned above? King Someshvara III which language was it written in? Sanskrit what kind of themes does it cover? An  encyclopedia of all arts and sciences
wiki:15176493
Someshvara III [SEP] Introduction
He authored the Sanskrit encyclopedic text "Manasollasa" touching upon such topics as polity, governance, astronomy, astrology, rhetoric, medicine, food, architecture, painting, poetry and music – making his work a valuable modern source of socio-cultural information of the 11th- and 12th-century India. He also authored, in Sanskrit, an incomplete biography of his father Vikramaditya VI, called "Vikramankabhyudaya." His scholarly pursuits was the reason he held such titles as "Sarvadnya-bhupa" ("lit", "the king who knows everything") and "Bhulokamala" ("the king who is lord of all living beings").