- In
algebraic and
differential geometry, a
Calabi–Yau manifold, also
known as a
Calabi–Yau space, is a
particular type of
manifold which has
certain properties...
-
Eugenio Calabi (May 11, 1923 –
September 25, 2023) was an Italian-born
American mathematician and the
Thomas A.
Scott Professor of
Mathematics at the University...
- analysis, the
Calabi flow is a
geometric flow
which deforms a Kähler
metric on a
complex manifold. Precisely,
given a Kähler
manifold M, the
Calabi flow is...
- co-founded in 2008.
Greene co-discovered
mirror symmetry,
relating two
different Calabi–Yau manifolds. He also
described the flop transition, a mild form of topology...
- the
Calabi conjecture was a
conjecture about the
existence of
certain kinds of
Riemannian metrics on
certain complex manifolds, made by
Eugenio Calabi (1954...
-
relationship between geometric objects called Calabi–Yau manifolds. The term
refers to a
situation where two
Calabi–Yau
manifolds look very
different geometrically...
- physics, the
compact extra dimensions must be
shaped like a
Calabi–Yau manifold. A
Calabi–Yau
manifold is a
special space which is
typically taken to...
-
recognition of his
contributions to
partial differential equations, the
Calabi conjecture, the
positive energy theorem, and the Monge–Ampère equation....
- The
Calabi triangle is a
special triangle found by
Eugenio Calabi and
defined by its
property of
having three different placements for the
largest square...
-
manifolds are Ricci-flat and are thus
Calabi–Yau manifolds. Hyperkähler
manifolds were
first given this name by
Eugenio Calabi in 1979.
Marcel Berger's 1955 paper...