#include </home/werner/origo/vish/ocean/eagle/Christoffel.hpp>

Public Types

enum { COMPONENTS = LowerTriangular<Dims, Dims }
typedef LowerTriangular< Dims,
Row< Dims, Value > > Base_t
The (vectorial) base class.
typedef Vector< Value, COMPONENTS > ChrisVector_t
typedef Column< Dims, Value > CoTVector_t
typedef Row< Dims, Value > TVector_t

Public Member Functions

ChrisVector_t & cvvec ()
const Value & operator() (int a, int b, int C) const
Return $\Gamma_{ab}^c$ .
Value & operator() (int a, int b, int C)
Return $\Gamma_{bc}^a$ .
TVector_t operator() (const TVector_t &v, const TVector_t &w) const
Compute $u^a = \Gamma^a_{bc} v^b w^c \$. It can be written using the curvature-1-forms:$ ^a_{bc} w^c ^a_b w $, thus $u = (\Gamma^a_b |\_ w) v^b$ .
void set (const Value &V)

TVector_t Eagle::Christoffel::operator()	(	const TVector_t &	v,
		const TVector_t &	w
	)		const `[inline]`

Compute $u^a = \Gamma^a_{bc} v^b w^c \$. It can be written using the curvature-1-forms:$ ^a_{bc} w^c ^a_b w $, thus $u = (\Gamma^a_b |\_ w) v^b$ .

Todo:: Make use of symmetry $\Gamma^a_{bc} = \Gamma^a_{cb}$ , add special case v==w.

The documentation for this class was generated from the following file: