real manifold
[REE-ul MAN-uh-fold]
nounpl: real manifolds
variedade real
1. A topological space that locally resembles Euclidean space and is defined over the real numbers, forming a smooth geometric object studied in differential geometry
A circle is a one-dimensional real manifold that locally looks like a line segment.
Um círculo é uma variedade real unidimensional que localmente se parece com um segmento de reta.
2. In mathematics, a type of manifold where the coordinate charts map to real Euclidean spaces rather than complex spaces
The surface of a sphere is a two-dimensional real manifold.
A superfície de uma esfera é uma variedade real bidimensional.
This is a specialized mathematical term used in differential geometry courses at universities in both Brazil and Portugal. It has no colloquial usage and is primarily found in academic and research contexts. The Portuguese translation 'variedade real' is the standard term across all Portuguese-speaking academic communities.
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