Used to specify the ambient metric. More...
#include <definitions.hpp>
Collaboration diagram for Manicore::ParametrizedMetricMap< dimension >:
Public Member Functions | |
| virtual Eigen::Matrix< double, dimension, dimension > | metric (Eigen::Vector< double, dimension > const &) const =0 |
| Metric of the tangent space on a chart. More... | |
| virtual Eigen::Matrix< double, dimension, dimension > | metric_inv (Eigen::Vector< double, dimension > const &) const =0 |
| Metric of the cotangent space on a chart. More... | |
| virtual double | volume (Eigen::Vector< double, dimension > const &) const =0 |
| Scaling of the volume form on a chart. More... | |
| ParametrizedMetricMap (int o) | |
| Allows setting the orientation when sub classing. More... | |
| virtual | ~ParametrizedMetricMap ()=default |
Public Attributes | |
| std::vector< double > | _extra |
| Optional parameters that may be used within the class. More... | |
| const int | orientation = 0 |
| Orientation of the chart. More... | |
Detailed Description
template<size_t dimension>
struct Manicore::ParametrizedMetricMap< dimension >
Used to specify the ambient metric.
- Template Parameters
-
dimension Dimension of the manifold
Constructor & Destructor Documentation
◆ ParametrizedMetricMap()
template<size_t dimension>
|
inline |
Allows setting the orientation when sub classing.
◆ ~ParametrizedMetricMap()
template<size_t dimension>
|
virtualdefault |
Member Function Documentation
◆ metric()
template<size_t dimension>
|
pure virtual |
Metric of the tangent space on a chart.
◆ metric_inv()
template<size_t dimension>
|
pure virtual |
Metric of the cotangent space on a chart.
This is the inverse matrix of the metric matrix
◆ volume()
template<size_t dimension>
|
pure virtual |
Scaling of the volume form on a chart.
This is the determinant of the inverse of the metric
Member Data Documentation
◆ _extra
template<size_t dimension>
| std::vector<double> Manicore::ParametrizedMetricMap< dimension >::_extra |
Optional parameters that may be used within the class.
◆ orientation
template<size_t dimension>
| const int Manicore::ParametrizedMetricMap< dimension >::orientation = 0 |
Orientation of the chart.
Should \( dx^1 \wedge dx^2 \wedge \dots \wedge dx^n \) be a direct basis ?
The documentation for this struct was generated from the following file:
- src/Common/definitions.hpp
