Annamalai Ramanathan, Indian mathematician (Madras 29 August 1946 – Chicago 12 March 1993) Gave a notion of stability for principal Gbundle on a Riemann surface Constructed a moduli space for semistable principal bundles with a real reductive structure group With S. Ramanan proved that the tensor product of a semistable vector bundles is semistable (1984) With V.B. Mehta introduced the notion of a Frobenius split variety and compatibly split subvarieties (1985) Proved that a principal Gbundle admits an EinsteinHermitian connection if and only if it is polystable (1988) EPONYMY RamananRamanathan theorem RumfordMehtaRamanathan restriction theorem RaghunathanRamanathan theorem KumarNarasimhanRamanathan lemma Ramanathan lemma Ramanathan stability MehtaRamanathan theorem for linear systems MehtaRamanathan theorem for slope Ksemistability MehtaRamanathan theorem rank of a real form

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