New Trends in Geometric Analysis: Spanish Network of Geometric Analysis 2007-2021
暫譯: 幾何分析的新趨勢:西班牙幾何分析網絡 2007-2021

Alarcón, Antonio, Palmer, Vicente, Rosales, César

  • 出版商: Springer
  • 出版日期: 2024-10-19
  • 售價: $6,060
  • 貴賓價: 9.5$5,757
  • 語言: 英文
  • 頁數: 393
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031399188
  • ISBN-13: 9783031399183
  • 海外代購書籍(需單獨結帳)

商品描述

作者簡介

Antonio Alarcón is a Professor at the Department of Geometry and Topology in the University of Granada. His research interests are included in the field of Geometric Analysis, lying primarily in minimal surfaces, Riemann surfaces, complex geometry, and holomorphic contact geometry. His main results contribute to the study of the global theory of minimal surfaces in Euclidean spaces by using both classical and modern complex analytic methods. He also studied Bryant surfaces in the hyperbolic space, complex curves and hypersurfaces in complex Euclidean spaces, and holomorphic Legendrian curves in complex contact manifolds.

Vicente Palmer is a Professor of Geometry in the Department of Mathematics of Universitat Jaume I in Castellón, (Spain). He teaches mathematics in different degrees of the university and his research focuses in the study of potential analysis in Riemannian manifolds from the viewpoint of submanifold theory, and their connections with theDirichlet spectrum of Riemannian manifolds and the exit time moments of Brownian motion defined on them. In addition to these abstruse and obscure subjects, he has devoted part of his work to the slightly more mundane (apparently simpler but definitely no less shady) problems of university management, holding the post of vice-rector for economic affairs at Jaume I University for 5 years.

César Rosales is an Associate Professor at the Department of Geometry and Topology in the University of Granada. His research focuses on geometric optimization problems, mainly those related to the area functional. He has studied isoperimetric problems and minimal surfaces in metric-measure spaces by means of mathematical techniques like calculus of variations, geometric measure theory and partial differential equations. His main contributions include classification results for isoperimetric and constant mean curvature surfaces in some relevant settings, like the sub-Riemannian Heisenberg group or the Gaussian space.

作者簡介(中文翻譯)

安東尼奧·阿拉爾孔(Antonio Alarcón)是格拉納達大學(University of Granada)幾何與拓撲系的教授。他的研究興趣包括幾何分析領域,主要集中在最小曲面、黎曼曲面、複幾何以及全純接觸幾何。他的主要研究成果有助於通過使用古典和現代複分析方法來研究歐幾里得空間中最小曲面的全球理論。他還研究了超曲面空間中的布萊恩特曲面、複歐幾里得空間中的複曲線和超曲面,以及複接觸流形中的全純萊根德朗曲線。

維森特·帕爾默(Vicente Palmer)是西班牙卡斯特利翁的哈烏梅一世大學(Universitat Jaume I)數學系的幾何學教授。他在大學的不同學位課程中教授數學,並且他的研究重點是從子流形理論的角度研究黎曼流形中的潛能分析,以及它們與黎曼流形的狄利克雷譜和定義在其上的布朗運動的退出時間矩的關聯。除了這些深奧且晦澀的主題外,他還將部分工作投入到稍微平凡(表面上更簡單但絕對不乏陰暗)的大學管理問題上,曾擔任哈烏梅一世大學的經濟事務副校長五年。

塞薇爾·羅薩萊斯(César Rosales)是格拉納達大學幾何與拓撲系的副教授。他的研究專注於幾何優化問題,主要是與面積泛函相關的問題。他通過變分法、幾何測度論和偏微分方程等數學技術研究了度量測度空間中的等周問題和最小曲面。他的主要貢獻包括在一些相關背景下對等周和常曲率曲面的分類結果,例如子黎曼海森堡群或高斯空間。

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