elliptic geometry or elliptic space noun

Riemannian geometry or space

geometry /jē-omˈi-tri or jomˈ/

1. That part of mathematics which deals with the properties of points, lines, surfaces and solids, either under classical Euclidean assumptions, or (in the case of elliptic geometry, hyperbolic geometry, etc) involving postulates not all of which are identical with Euclid's
2. Any study of a mathematical system in which figures undergo transformations, concerned with discussion of those properties of the figures which remain constant
3. A textbook of geometry (archaic)

geomˈeter noun

1. A geometrician
2. A geometrid caterpillar or moth

geometric /-metˈ/ or geometˈrical adjective

1. Relating to or according to geometry
2. (eg of a pattern, design or composition) consisting of or using simple figures such as geometry deals with

geometˈrically adverb

geometrician /-me-trishˈən/ noun

A person skilled in geometry

geomˈetrid noun

Any moth of the family or superfamily Geometˈridae whose caterpillars are loopers

geomˈetrist noun

geometrīzāˈtion or geometrīsāˈtion noun

geomˈetrize or geomˈetrise transitive verb and intransitive verb

1. To work geometrically
2. To show in geometric form

geometric(al) progression noun

A series of quantities each of which has the same ratio to its predecessor

geometric mean see under mean³