Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Plurisubharmonic function: History & Applications

In mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis. On a Kähler manifold, plurisubharmonic functions form a subset of the subharmonic functions. However, unlike subharmonic functions (which are defined on a Riemannian manifold) plurisubharmonic…

Language: English [EN]
Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.
100%
More settings
100% 100% 100% 100% 100%

Plurisubharmonic function topic overview

The analysis highlights History and Applications as prominent areas in the source structure around Plurisubharmonic function.

Related topics
31
Source areas
6
Connected nodes
37
Extracted relationships
13
Concept neighborhoods
25
Bridge connections
37

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Examples · 8 topics
Formal definition · 8 topics
Overview · 7 topics
Applications · 3 topics
Properties · 3 topics
History · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Formal definition

Examples

History

Properties

Applications

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Plurisubharmonic function connects Entity context

The extracted context around Plurisubharmonic function shows recurring relationship patterns in the source. For example, Plurisubharmonic function → EMS Press, Encyclopedia, Mathematics, Plurisubharmonic Another extracted example is Plurisubharmonic function → Kiyoshi Oka, Pierre Lelong, Plurisubharmonic. Use these groups to spot repeated connection types before inspecting the individual relationships.

Plurisubharmonic function

Top relations

related to External links · 4
Plurisubharmonic function → EMS Press, Encyclopedia, Mathematics, Plurisubharmonic
related to history · 3
Plurisubharmonic function → Kiyoshi Oka, Pierre Lelong, Plurisubharmonic
related to Oka theorem · 3
Plurisubharmonic function → Kiyoshi Oka, Kähler, The
has application · 2
Plurisubharmonic function → In, Stein
related to Properties · 1
Plurisubharmonic function → The

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

plurisubharmonic functions function displaystyle complex manifold subharmonic kähler mathbb form positive called oka infty subset defined analytic domain theorem mathematics

Plurisubharmonic function relationships Subject–Predicate–Object triples

TTTA extracted 13 structured relationships around Plurisubharmonic function. Examples in this analysis include Plurisubharmonic function → has application → In and Plurisubharmonic function → has application → Stein. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Plurisubharmonic functionhas applicationIn0.60section
Plurisubharmonic functionhas applicationStein0.60section
Plurisubharmonic functionrelated to External linksPlurisubharmonic0.60section
Plurisubharmonic functionrelated to External linksEncyclopedia0.60section
Plurisubharmonic functionrelated to External linksMathematics0.60section
Plurisubharmonic functionrelated to External linksEMS Press0.60section
Plurisubharmonic functionrelated to historyPlurisubharmonic0.60section
Plurisubharmonic functionrelated to historyKiyoshi Oka0.60section
Plurisubharmonic functionrelated to historyPierre Lelong0.60section
Plurisubharmonic functionrelated to Oka theoremThe0.60section
Plurisubharmonic functionrelated to Oka theoremKiyoshi Oka0.60section
Plurisubharmonic functionrelated to Oka theoremKähler0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Plurisubharmonic function bring nearby vocabulary together. In this analysis, examples include Displaystyle, Function and Plurisubharmonic. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Plurisubharmonic function
    • Displaystyle
    • Function
    • Plurisubharmonic
    • Subharmonic
    • Kähler
    • Mathbb
    • Manifold
    • Functions
    • Oka
    • Positive
    • Called
    • Colon
  • plurisubharmonic function
    • Displaystyle
    • Function
    • Plurisubharmonic
    • Infty
    • Mathbb
    • Set
    • Called
    • Subharmonic
    • Kähler
    • Manifold
    • Functions
    • Oka
  • functions
    • Plurisubharmonic
    • Subharmonic
    • Complex
    • Convex
    • Defined
    • Oka
    • Function
    • Manifold
    • Displaystyle
    • Full
    • Generality
    • Properties
  • complex analysis
    • Space
    • Manifold
    • Plurisubharmonic
    • Mathbb
    • Full
    • Generality
    • Used
    • Analytic
    • Defined
    • Functions
    • Several
    • Theorem
  • kähler manifold
    • Subharmonic
    • Full
    • Generality
    • Manifold
    • Omega
    • Partial
    • Analytic
    • Defined
    • Space
    • Stein
    • Subset
    • Theorem
  • subharmonic functions
    • Subset
    • Plurisubharmonic
    • Colon
    • Cup
    • Full
    • Generality
    • Analytic
    • Defined
    • Infty
    • Subharmonic
    • Complex
    • Convex
  • complex analytic spaces
    • Examples
    • Full
    • Generality
    • Defined
    • Set
    • Space
    • Subharmonic
    • Manifold
    • Colon
    • Cup
    • Properties
    • Plurisubharmonic
  • complex
    • Space
    • Manifold
    • Plurisubharmonic
    • Mathbb
    • Full
    • Generality
    • Used
    • Analytic
    • Defined
    • Functions
    • Several
    • Theorem

Connections between topic areas Semantic bridges

For Plurisubharmonic function, one of the stronger structural bridges in this analysis connects Plurisubharmonic function with Formal definition. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Plurisubharmonic function — Formal definition · splits 29 ⟂ 9
Plurisubharmonic function — Examples · splits 29 ⟂ 9
Plurisubharmonic function — Overview · splits 30 ⟂ 8
Plurisubharmonic function — Properties · splits 34 ⟂ 4
Plurisubharmonic function — Applications · splits 34 ⟂ 4
Plurisubharmonic function — History · splits 35 ⟂ 3

Map overview Semantic statistics

Plurisubharmonic function

Nodes38
Edges37
Triples13
Avg. degree1.95
Density0.052632
Components1

Source & methodology

TTTA analyzes the structure around Plurisubharmonic function to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Applications, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Plurisubharmonic function · EN edition · Analysis: TopicsToTalkAbout

For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.