In Riemannian geometry and relativity theory, an orthonormal frame is a tool for studying the structure of a differentiable manifold equipped with a metric. If M is a manifold equipped with a metric g, then an orthonormal frame at a point P of M is an ordered basis of the tangent space at P consisting of vectors which are orthonormal with respect to the bilinear form gP.
Famous quotes containing the word frame:
“With its frame of shaking curls all in disarray,
earrings swinging,
make-up smudged by beads of sweat,
eyes languid at the end of lovemaking,
may the face of the slim girl
who’s riding on top of you
protect you long.
What’s the use
of Vi.s».n»u, iva, Skanda,
and all those other gods?”
—Amaru (c. seventh century A.D.)