differences are that in Byzantine Christianity the emperor controls church affairs and appoints the patriarch, or highest church official, in Constantinople. Byzantine Christians rejected the pope's claim to authority.
Not really sure what you are asking here, the "Roman" Church might be a way of referring to the Latin Rite of the Catholic Church, or it might be referring to the diocese of Rome. Assuming you are referring to the Latin Rite, then the Byzantine Church also is a Rite within the Catholic Church, it is not as large as the Latin Rite, but it is every bit as ancient, and just as much a part of the Catholic Church as the Latin Rite. Are using asking for the physical differences between an actual Church of the Latin Rite as opposed to a Church of the Byzantine Rite?
The Byzantine Church was used for worship. Following the death of the Roman Emperor Constantine, the Roman Empire split into the Roman Empire and the Byzantine Empire. Eventually, the Bishop of Rome became the head of the church in the Roman Empire. Over the years, that church became the Roman Catholic Church. The Bishop of Constantinople became the head of the Byzantine Church. That church evolved into the Greek Orthodox Church and still exists today.
Rome is in Italy and Paris is in France.
The Roman rite comes from the diocese of Rome, and is different from the Byzantine Rite, which comes from the diocese in Byzantium, in the ways it celebrates its masses and decorates its churches.
The difference between Judaism and Byzantine is whereas Judaism is a Christian sect, Byzantine is not.
disagreements over who leads the church
After the Great Schism of 1054, the Byzantine church, which was originally known as the Eastern Orthodox Church, became distinct from the Roman Catholic Church. The Byzantine church continued to be referred to as the Eastern Orthodox Church, while the Roman Catholic Church retained its name. The Great Schism created a permanent divide between the two branches of Christianity, leading to different theological beliefs and practices.
It is when The Roman Catholic Church and The Eastern Orthodox Church had The Great Schism, in which The Roman Catholic Church broke off The Orthodox Church.
Some byzantine churches are Orthodox. And some Orthodox churches are byzantine. Other than that, there's no difference. There are Roman Catholic churches which follow the byzantine form of worship, since they ceased being Orthodox in the 1400-1700s but retained their liturgical practices. And there are plenty of Orthodox parishes which have never followed byzantine norms for worship (Russian, for example, or in some places, Western Rite, especially when an entire Anglican or Roman Catholic congregation has become Orthodox). If you hear someone generically refer to "THE Byzantine Church," they are probably referring generically to the Orthodox Church, giving credence to its roots in Greek thought, culture, and language.
The Roman Catholic church survived the fall of the Western Roman Empire. The Orthodox Church survived the fall of the Byzantine Empire.
Cultural differences between Roman Catholics and Byzantine Christians contributed to the
Roman mosaics were natural and realistic while Byzantine mosaics were meant to be symbolic.