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math.CV2025
On the Schwarz Lemma for Bergman metrics of bounded domains
Hoseob Seo, Sungmin Yoo, Jihun Yum
We present a new Schwarz Lemma for bounded domains with Bergman metrics. The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.
math.DG2025
On contact Hamiltonian functions of singular contact structures
Hoseob Seo
For contact manifolds, it is well-known that the map which assigns to an infinitesimal contact transformation its contact Hamiltonian function is a linear isomorphism, and an expli…