Geometry is a branch of mathematics dealing with spatial relationships.
Geometry or geometric may also refer to:
Matrix most commonly refers to:
In the mathematical field of geometric topology, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.
Spring(s) may refer to:
Transformation may refer to:
William Paul Thurston was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds.
Parallel may refer to:
In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it. It is an analogue of the uniformization theorem for two-dimensional surfaces, which states that every simply connected Riemann surface can be given one of three geometries . In three dimensions, it is not always possible to assign a single geometry to a whole topological space. Instead, the geometrization conjecture states that every closed 3-manifold can be decomposed in a canonical way into pieces that each have one of eight types of geometric structure. The conjecture was proposed by William Thurston, and implies several other conjectures, such as the Poincaré conjecture and Thurston's elliptization conjecture.
Grigori Yakovlevich Perelman is a Russian mathematician who is known for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. In 2005, Perelman abruptly quit his research job at the Steklov Institute of Mathematics, and in 2006 stated that he had quit professional mathematics, due to feeling disappointed over the ethical standards in the field. He lives in seclusion in Saint Petersburg, and has not accepted offers for interviews since 2006.
Projection, projections or projective may refer to:
A&G, AG, Ag or ag may refer to
Expansion may refer to:
A spectrum is a condition or value that is not limited to a specific set of values but can vary infinitely within a continuum.
The face is a part of the body, the front of the head.
Connection may refer to:
The lexicon of a language is its complete vocabulary.
Perspective may refer to:
A bracket is a tall punctuation mark typically used in matched pairs within text.
Huai-Dong Cao is a Chinese–American mathematician. He is the A. Everett Pitcher Professor of Mathematics at Lehigh University. He is known for his research contributions to the Ricci flow, a topic in the field of geometric analysis.
Yuri Dmitrievich Burago is a Russian mathematician. He works in differential and convex geometry.
John William Lott is a professor of Mathematics at the University of California, Berkeley. He is known for contributions to differential geometry.
