tensor analysis

Extension of vector analysis to tensors

Instance of: branch of mathematics
Part of: differential geometry

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics and physics, a tensor field is a function assigning a tensor to each point of a region of a mathematical space or of a physical space, in which case the field quantity acquires a unit of measurement. Tensor fields are used in differential geometry, algebraic geometry, general relativity, in the analysis of stress and strain in material object, and in numerous applications in the physical sciences. As a tensor is a generalization of a scalar and a vector, a tensor field is a generalization of a scalar field and a vector field that assigns, respectively, a scalar or vector to each point of space. If a tensor A is defined on a vector fields set X(M) over a module M, we call A a tensor field on M.

Overview

All data

25 statements · 16% with external sources · numbers in brackets are citations

Used by: general relativity
Uses: tensor
Discovered by: Gregorio Ricci-Curbastro
Tullio Levi-Civita

On other databases

18 identifiers linking tensor analysis across the web's reference databases

Data quality

statements

16%

externally sourced

Source last edited September 6, 2026. AIDB refreshes this page daily.

Suggest a fact or correction

Links

Use this data

curl https://aidb.si/api/v1/entities/Q1318181

API docs, limits & keys

Cite this page

AIDB. (2026). tensor analysis (Q1318181). Retrieved from https://aidb.si/e/tensor-analysis-Q1318181