Superfly or Super fly may refer to:
Superfly is a Japanese rock act that debuted on April 4, 2007. Formerly a duo, the act now consists solely of lyricist and vocalist Shiho Ochi with former guitarist Kōichi Tabo still credited as the group's composer and part-time lyricist. Superfly's first two studio albums have been certified double platinum by the Recording Industry Association of Japan, and their four albums (the third being classified as a "single" by the group) all debuted at the top of the Oricon's Weekly Album Charts, a first for a female recording artist in Japan in over seven years.
Shiho Ochi (越智 志帆, Ochi Shiho) met Kōichi Tabo (多保 孝一, Tabo Kōichi) in 2003 while they were students at Matsuyama University. They were both members of a music circle that covered songs by Finger 5 and the Rolling Stones. In 2004, the group formed the blues band "Superfly", naming themselves after Curtis Mayfield's song "Superfly". The group disbanded in 2005, with only Ochi and Tabo remaining when they went to Tokyo to seek out a label.
Curtis Lee Mayfield (June 3, 1942 – December 26, 1999) was an American soul, R&B, and funk singer-songwriter, guitarist, and record producer, who was one of the most influential musicians behind soul and politically conscious African-American music. He first achieved success and recognition with The Impressions during the Civil Rights Movement of the late 1950s and 1960s, and later worked as a solo artist.
Born in Chicago, Illinois, Mayfield started his musical career in a gospel choir. Moving to Chicago's North Side he met Jerry Butler in 1956 at the age of 14, and joined vocal group The Impressions. As a songwriter, Mayfield became noted as one of the first musicians to bring more prevalent themes of social awareness into soul music. In 1965, he wrote "People Get Ready" for The Impressions, which displayed his more politically charged songwriting. Ranked at no. 24 on Rolling Stone's list of the 500 Greatest Songs of All Time, the song received numerous other awards, and was included in the Rock and Roll Hall of Fame 500 Songs that Shaped Rock and Roll, as well as being inducted into the Grammy Hall of Fame in 1998.
Connection may refer to:
In mathematics, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. A principal G-connection on a principal G-bundle P over a smooth manifold M is a particular type of connection which is compatible with the action of the group G.
A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection. It gives rise to (Ehresmann) connections on any fiber bundle associated to P via the associated bundle construction. In particular, on any associated vector bundle the principal connection induces a covariant derivative, an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Principal connections generalize to arbitrary principal bundles the concept of a linear connection on the frame bundle of a smooth manifold.
Let π:P→M be a smooth principal G-bundle over a smooth manifold M. Then a principal G-connection on P is a differential 1-form on P with values in the Lie algebra of G which is G-equivariant and reproduces the Lie algebra generators of the fundamental vector fields on P.
Let be an affine bundle modelled over a vector bundle
. A connection
on
is called the affine connection if it as a section
of the jet bundle
of
is an affine bundle morphism over
. In particular, this is the case of an affine connection on the tangent bundle
of a smooth manifold
.
With respect to affine bundle coordinates on
, an affine connection
on
is given by the tangent-valued connection form
An affine bundle is a fiber bundle with a general affine structure group of affine transformations of its typical fiber
of dimension
. Therefore, an affine connection is associated to a principal connection. It always exists.
For any affine connection , the corresponding linear derivative
of an affine morphism
defines a
unique linear connection on a vector bundle
. With respect to linear bundle
coordinates
on
, this connection reads
Since every vector bundle is an affine bundle, any linear connection on a vector bundle also is an affine connection.
If is a vector bundle, both an affine connection
and an associated linear connection
are
connections on the same vector bundle
, and their
difference is a basic soldering form on
. Thus, every affine
connection on a vector bundle
is a sum of a linear
connection and a basic soldering form on
.