- more on the
intrinsic meaning, see
density on a manifold. Bitensor –
Tensorial object depending on two
points in a
manifold Jet bundle – Construction...
- Ω
satisfies both;
hence Ω is a
tensorial form of
adjoint type. The "difference" of two
connection forms is a
tensorial form.
Given P and ρ as
above one...
-
general form of
thermal conductivity is a second-rank tensor. However, the
tensorial description only
becomes necessary in
materials which are anisotropic...
-
generally depends on a
choice of a
coordinate frame, and so is not a
tensorial object.
Various generalizations and
reinterpretations of the connection...
- In electromagnetism, the
absolute permittivity,
often simply called permittivity and
denoted by the Gr****
letter ε (epsilon), is a
measure of the electric...
- In
category theory, a
branch of mathematics, an
enriched category generalizes the idea of a
category by
replacing hom-sets with
objects from a general...
-
differential geometry and
general relativity, a
bitensor (or bi-tensor) is a
tensorial object that
depends on two
points in a manifold, as
opposed to ordinary...
- {\displaystyle d^{c}=J^{-1}\circ d\circ J.} The
following operators are
tensorial in nature, that is they are
operators which only
depend on the
value of...
- _{a}T^{b}=\nabla _{a}(T_{c}g^{bc})=g^{bc}\nabla _{a}T_{c}}
Another important tensorial derivative is the Lie derivative.
Unlike the
covariant derivative, the...
-
together with a
natural transformation tA,B : A ⊗ TB → T(A ⊗ B),
called (
tensorial) left strength, such that the
diagrams , , , and
commute for
every object...
