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emmy.calculus.metric


components->metricclj/s

(components->metric components basis)
source

coordinate-system->inverse-metricclj/s

(coordinate-system->inverse-metric coordinate-system)
source

coordinate-system->metricclj/s

(coordinate-system->metric coordinate-system)
source

coordinate-system->metric-componentsclj/s

(coordinate-system->metric-components coordsys)
source

drop1clj/s

Alias for lower.

Alias for [[lower]].
sourceraw docstring

drop2clj/s

(drop2 metric-tensor basis)

For making a (2,0) tensor into a (0,2) tensor.

For making a (2,0) tensor into a (0,2) tensor.
sourceraw docstring

embedding-map->metric-componentsclj/s

(embedding-map->metric-components n xi->rectangular)
source

invertclj/s

(invert metric basis)
source

literal-metricclj/s

(literal-metric name coordinate-system)

Flat coordinate systems here only.

Flat coordinate systems here only.
sourceraw docstring

lowerclj/s

(lower metric)

To make a vector field into a one-form field, i.e., a (1,0) tensor into a (0,1) tensor.

To make a vector field into a one-form field, i.e., a (1,0) tensor into a (0,1)
tensor.
sourceraw docstring

metric->componentsclj/s

(metric->components metric basis)
source

metric->inverse-componentsclj/s

(metric->inverse-components metric basis)

Given a metric and a basis, computes the inverse metric.

Given a metric and a basis, computes the inverse metric.
sourceraw docstring

metric-over-mapclj/s

(metric-over-map mu:N->M g-on-M)
source

oneform-field->vector-fieldclj/s

Alias for raise.

Alias for [[raise]].
sourceraw docstring

raiseclj/s

(raise metric basis)

To make a one-form field into a vector field, i.e., a (0,1) tensor into a (1,0) tensor.

To make a one-form field into a vector field, i.e., a (0,1) tensor into a (1,0)
tensor.
sourceraw docstring

raise1clj/s

Alias for raise.

Alias for [[raise]].
sourceraw docstring

raise2clj/s

(raise2 metric-tensor basis)

For making a (0,2) tensor into a (2,0) tensor.

For making a (0,2) tensor into a (2,0) tensor.
sourceraw docstring

S2-metricclj/s

source

sharpenclj/s

(sharpen metric basis m)
source

trace2downclj/s

(trace2down metric-tensor basis)

Computes the trace of a (0,2) tensor.

Computes the trace of a (0,2) tensor.
sourceraw docstring

trace2upclj/s

(trace2up metric-tensor basis)

Computes the trace of a (2,0) tensor

Computes the trace of a (2,0) tensor
sourceraw docstring

vector-field->oneform-fieldclj/s

Alias for lower.

Alias for [[lower]].
sourceraw docstring

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