Exactly as stated is the Solar Manifestation magic and can it be detected by detect magic?
Detect Magic detects "all magic spells, effects, items, and objects (including those on or affecting creatures you can see)" (Starfinder Core Rulebook pg. 348). Solar Manifestation is a supernatural ability as denoted by the "(SU)" tag (SCR 101). Supernatural abilities are explicitly magical (SCR 59).