A bounded symmetric domain is a connected bounded open subset of a complex vector space such that each point is an isolated fixed point
of a holomorphic involution of the domain. For example, the unit
disk is symmetric. If 
carries a point 
to zero, then 
is an involution with isolated fixed
point 
.
Products of bounded symmetric domains are also bounded symmetric domains.
Bounded Symmetric Domain
See also
Complex Manifold, Holomorphic Function, Kollar-Pardon Conjecture, Unit DiskExplore with Wolfram|Alpha
References
Antonakoudis, S. M. "Teichmüller Spaces and Bounded Symmetric Domains Do Not Mix Isometrically." Geom. Funct. Anal. 27, 453-465, 2017. https://doi.org/10.1007/s00039-017-0404-0.Cite this as:
Weisstein, Eric W. "Bounded Symmetric Domain." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BoundedSymmetricDomain.html