sicmutils.calculus.metric — sicmutils 0.21.1

components->metric clj/s

(components->metric components basis)

coordinate-system->inverse-metric clj/s

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

coordinate-system->metric clj/s

(coordinate-system->metric coordinate-system)

coordinate-system->metric-components clj/s

(coordinate-system->metric-components coordsys)

drop1 clj/s

Alias for lower.

drop2 clj/s

(drop2 metric-tensor basis)

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

embedding-map->metric-components clj/s

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

invert clj/s

(invert metric basis)

literal-metric clj/s

(literal-metric name coordinate-system)

Flat coordinate systems here only.

lower clj/s

(lower metric)

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

metric->components clj/s

(metric->components metric basis)

metric->inverse-components clj/s

(metric->inverse-components metric basis)

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

metric-over-map clj/s

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

oneform-field->vector-field clj/s

Alias for raise.

raise clj/s

(raise metric basis)

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

raise1 clj/s

Alias for raise.

raise2 clj/s

(raise2 metric-tensor basis)

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

S2-metric clj/s

sharpen clj/s

(sharpen metric basis m)

trace2down clj/s

(trace2down metric-tensor basis)

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

trace2up clj/s

(trace2up metric-tensor basis)

Computes the trace of a (2,0) tensor

vector-field->oneform-field clj/s

Alias for lower.