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pro vyhledávání: '"Dorfmeister, Josef"'
Autor:
Dorfmeister, Josef F., Wang, Peng
In this paper, we develop a loop group description of harmonic maps $\mathcal{F}: M \rightarrow G/K$ of finite uniton number, from a Riemann surface $M,$ compact or non-compact, into inner symmetric spaces of compact or non-compact type. As a main re
Externí odkaz:
http://arxiv.org/abs/2408.12899
Autor:
Dorfmeister, Josef F., Wang, Peng
In this paper, we discuss the associated family of harmonic maps $\mathcal{F}: M \rightarrow G/K$ from a Riemann surface $M$ into inner symmetric spaces of compact or non-compact type which are either algebraic or totally symmetric. These notions are
Externí odkaz:
http://arxiv.org/abs/2408.12487
Autor:
Dorfmeister, Josef F., Wang, Peng
In this note we discuss the construction of equivariant primitive harmonic maps into $k-$symmetric spaces and give many applications to the construction of Willmore surfaces. In particular, examples of $S^1-$equivariant Willmore Moebius strips in $S^
Externí odkaz:
http://arxiv.org/abs/2406.19265
In this paper we study isometric immersions $f:M^n \to {\mathbb {C}^{\prime}}\!P^n$ of an $n$-dimensional pseudo-Riemannian manifold $M^n$ into the $n$-dimensional para-complex projective space ${\mathbb {C}^{\prime}}\!P^n$. We study the immersion $f
Externí odkaz:
http://arxiv.org/abs/2405.11771
Autor:
Dorfmeister, Josef F., Wang, Peng
In the past decades, the authors made some systematic research on global and local properties of Willmore surfaces in terms of the DPW method. In this note we give a survey, mainly including the basic framework of the DPW method for the global geomet
Externí odkaz:
http://arxiv.org/abs/2405.10831
Autor:
Dorfmeister, Josef F., Ma, Hui
We extend the techniques introduced in \cite{DoMaB1} for contractible Riemann surfaces to construct minimal Lagrangian immersions from arbitrary Riemann surfaces into $\mathbb{C}P^2$ via the loop group method. Based on the potentials of translational
Externí odkaz:
http://arxiv.org/abs/2405.03246
Autor:
Dorfmeister, Josef F.
We discuss how the loop group method for harmonic maps from Riemann manifolds M to inner symmetric spaces S depends on the choice of a base point in M.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2303.14270
Autor:
Dorfmeister, Josef G., Li, Tian-Jun
This paper gives a survey of the progress on the minimal genus problem since Lawson's survey.
Comment: Acta Math Sci (42) 2257-2278 (2022) \\ Version 2: Remark 2.4 and a few references added
Comment: Acta Math Sci (42) 2257-2278 (2022) \\ Version 2: Remark 2.4 and a few references added
Externí odkaz:
http://arxiv.org/abs/2303.03257
Autor:
Dorfmeister, Josef F., Ma, Hui
In this paper, we employ the loop group method to study the construction of minimal Lagrangian surfaces in the complex projective plane for which the surface is contractible. We present several new classes of minimal Lagrangian surfaces in $\mathbb{C
Externí odkaz:
http://arxiv.org/abs/2002.01318
In this paper we investigate surfaces in $\mathbb C P^2$ without complex points and characterize the minimal surfaces without complex points and the minimal Lagrangian surfaces by Ruh-Vilms type theorems. We also discuss the liftability of an immersi
Externí odkaz:
http://arxiv.org/abs/1909.03207