Results 91 to 100 of about 6,987,948 (273)
The differential equation $\Delta u = 8\pi - 8\pi h\exp {u}$ on a compact Riemann surface [PDF]
, 1997 Let $M$ be a compact Riemann surface, $h(x)$ a positive smooth function on $M$. In this paper, we consider the functional $$J(u)={1/2}\int \sb{M}|\bigtriangledown u|\sp 2 + 8\pi \int\sb{M}u -8\pi \log\int\sb{M}h\exp {u}$$.
W. Ding, J. Jost, J. Li, G. Wang
semanticscholar +1 more source
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
Some differential equations for the Riemann $\theta$-function on Jacobians
, 2018 We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the theta function, which are motivated by their analogues in Arakelov theory
Wilms, Robert
core
Journal of High Energy Physics, 2019 We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a ℤ3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore ...
Minjae Cho, Scott Collier, Xi Yin
doaj +1 more source
Closed continuations of Riemann surfaces [PDF]
, 2020 Makoto Masumoto, Masakazu Shiba
openalex +1 more source
TOWARDS A SCHUBERT CALCULUS FOR MAPS FROM A RIEMANN SURFACE TO A GRASSMANNIAN [PDF]
, 1994 The intuitive notion of the Gromov invariant for maps from a Riemann surface to a Grassmannian is shown to agree with the definition in \cite{BDW}. Also, an induction on the genus is proved, which extends the results of \cite{BDW} to a computation of all
A. Bertram
semanticscholar +1 more source
Coordinate‐ and Spacetime‐Independent Quantum Physics
Annalen der Physik, Volume 538, Issue 1, January 2026.This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
wiley +1 more source
The Serre duality theorem for Reimann surfaces
International Journal of Mathematics and Mathematical Sciences, 1984 Given a Riemann surface S, there exists a finitely generated Fuchsian group G of the first kind acting on the upper half plane U, such that S≅U/G. This isomorphism makes it possible to use Fuchsian group methods to prove theorems about Riemann surfaces ...
Ranjan Roy
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Mass-deformed ABJM and black holes in AdS4
Journal of High Energy Physics, 2018 We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the SU(3) × U(1) invariant AdS4 Warner vacuum.
Nikolay Bobev +2 more
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Boundary points, minimal $L^2$ integrals and concavity property III -- linearity on Riemann surfaces [PDF]
, 2022 Qi’an Guan, Zhitong Mi, Zheng Yuan
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