The Weil–Petersson curvature operator on the universal Teichmüller space
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DOI: 10.1007/s00208-017-1616-1
Abstract: The universal Teichmüller space is an infinitely dimensional generalization of the classical Teichmüller space of Riemann surfaces. It carries a natural Hilbert structure, on which one can define a natural Riemannian metric, the Weil–Petersson metric.… read more here.
Keywords: weil petersson; space; teichm ller; ller space ... See more keywords
Teichmüller space theory and classical problems of geometric function theory
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DOI: 10.1007/s10958-021-05546-5
Abstract: Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the deep features of Teichmüller spaces.It involves the Bers isomorphism theorem for Teichmüller spaces of punctured Riemann surfaces.… read more here.
Keywords: theory; teichm ller; ller space; classical problems ... See more keywords
Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric
Sign Up to like & getrecommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4413
Abstract: The Teichmüller space of a Riemann surface of analytically finite type has a complex structure modeled on the complex Hilbert space consisting of harmonic Beltrami differentials on the surface equipped with hyperbolic L-norm. The Weil–… read more here.
Keywords: ller space; teichm ller; petersson metric; space ... See more keywords