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pro vyhledávání: '"Tristan, Riviere"'
Autor:
Tristan, Rivière
We prove that any smooth harmonic map from $S^3$ into $S^2$ of Morse index less or equal than $4$ has to be an harmonic morphism, that is the successive composition of an isometry of $S^3$, the Hopf fibration and an holomorphic map from ${\mathbb C}P
Externí odkaz:
http://arxiv.org/abs/1912.00473
Autor:
Tristan, Riviere
We found a new formulation to the Euler-Lagrange equation of the Willmore functional for immersed surfaces in ${\R}^m$. This new formulation of Willmore equation appears to be of divergence form, moreover, the non-linearities are made of jacobians. A
Externí odkaz:
http://arxiv.org/abs/math/0612526
Autor:
Tristan, Riviere
We succeed in writing 2-dimensional conformally invariant non-linear elliptic PDE (harmonic map equation, prescribed mean curvature equations...etc) in divergence form. This divergence free quantities generalize to target manifolds without symmetries
Externí odkaz:
http://arxiv.org/abs/math/0603380
Autor:
Frank Pacard, Tristan Riviere
Equations of the Ginzburg–Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Braz