geometric analysis

noun

A branch of mathematics in which techniques from differential geometry are used in the analysis and solution of partial differential equations, and vice versa.

Meanings

noungeometric analysis (uncountable)
  1. uncountablegeometryA branch of mathematics in which techniques from differential geometry are used in the analysis and solution of partial differential equations, and vice versa.

    2013, Mohammad Ghomi, Junfang Li, John McCuan, Vladimir Oliker, Fernando Schwartz, Gilbert Weindtein (editors) Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations, American Mathematical Society.

    2 more examples

    Papers are submitted for publication by sending three hard (printed) copies to The Journal of Geometric Analysis, Department of Mathematics, Washington University,[…].

    1999, The Journal of Geometric Analysis, volume 9, CRC Press, page 273

    In 2012, thematic programs on Geometric Analysis and Spectral Theory and on Moduli spaces, Extremality and Global Invariants were held at the CRM. There were several workshops on cutting-edge topics in geometric analysis and spectral theory, notably on the Geometry of Eigenvalues and Eigenfunctions, on Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis and on Spectral invariants on non-compact and singular spaces.

    2014, Pierre Albin, Dmitry Jakobson, Frédéric Rochon, “Preface”, in Geometric and Spectral Analysis, American Mathematical Society, page vii

Origin

Translations

French analyse géométrique
  • analyse géométriquebranch of mathematics
Polish analiza geometryczna
  • analiza geometrycznabranch of mathematics
Portuguese análise geométrica
  • análise geométricabranch of mathematics
Cite this entry
APA

geometric analysis. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/geometric%20analysis

MLA

“geometric analysis.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/geometric%20analysis. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “geometric analysis,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/geometric%20analysis.

Source: geometric analysis on Wiktionary, CC BY-SA 4.0.