Definition of COVOLUME. Meaning of COVOLUME. Synonyms of COVOLUME

- polyhedron. This is why d( Λ {\displaystyle \Lambda } ) is sometimes called the covolume of the lattice. If this equals 1, the lattice is called unimodular. Minkowski's...
- Mahler's theorem is equivalent to the compactness of the space of unit-covolume lattices in R n {\displaystyle \mathbb {R} ^{n}} whose systole is larger...
- {\displaystyle 2^{n}d(L)} , where d ( L ) {\displaystyle d(L)} denotes the covolume of the lattice (the absolute value of the determinant of any of its bases)...
- is defined as follows. For a lattice L in Euclidean space Rn with unit covolume, i.e. vol(Rn/L) = 1, let λ1(L) denote the least length of a nonzero element...
- finite type. A Kleinian group Γ has finite covolume if H3/Γ has finite volume. Any Kleinian group of finite covolume is finitely generated. A Kleinian group...
- **** and others on algebraic groups. Shortly afterwards the finiteness of covolume was proven in full generality by Borel and Harish-Chandra. Meanwhile, there...
- covolume, where G is a semisimple algebraic group over the reals. This is in contrast to a lattice, which is a discrete subgroup of finite covolume....
- of the n-dimensional parallelepiped the set subtends (also called the covolume of the lattice). This parallelepiped is a fundamental region of the symmetry:...
- explicit lower bound of π / 21 {\displaystyle \pi /21} for the smallest covolume of a quotient of the hyperbolic plane by a lattice in P S L 2 ( R ) {\displaystyle...
- of P, divided by d(L) (see lattice for an explanation of the content or covolume d(L) of a lattice); the second coefficient, L d − 1 ( P ) {\displaystyle...