Bharathanatyam is a south indian temple dance, which is a combination aus Bhava (Expression), Raga (Tune), Tala (Rhythm) and Natyam (Drama). It is an art form, which shows the indian mythology in a dance. There are three different types in Bharatanatyam.
Nritta: These are pure Rythmic dances without any explanation and expression. It has a lot of Jathis and Korvais, which are a combination of adavus. As example for these Nritta items are: Alaripu, Jathiswaram and Thillana
Nritya: It is a dance type, which contains experssion and rhythm. In Nritya items the dancer performs different stories of the indian mytholoy. As an example for Nritya Items are: Pathams, Kautwams and Varnam
Natya: Natyam mostly are showed as dance dramas. The facial expression and the gestures are very important in the Natya type. The dancer explains with the eyes and the body a complete story.
Bollywood dance is modern dance form in India, which is known from the movies. This dance is mostly a combination of indian folk dances, hip hop and oriental dance. The songs have Rhythmic beats and a catchy tune.
The dancing in Bollywood films is primarily modelled on Indian dance: Classical dance styles, dances of historic northern Indian courtesans or folk dances. In modern films, Indian dance elements often blend with Western dance styles. Its usual to see Western pop and pure classical dance numbers side by side in the same film. The characters often perform with a troup of supporting dancers. If the characters dance and sing a pas-de-deux (a dance and ballet term, meaning "dance of two"), it is often staged in beautiful natural surroundings or architecturally grand settings. This staging is referred to as a "picturisation".
Carnatic Music is an indian classical music Form, which is mostly learned in south india. It is a combination of Sruti (pitch), Swara (note), Raga (tune) and Tala (rhythm). There are different compositions such as geetham, swarajathis, keertana and varnam. Geethams and Swarajathis are the basic songs which are sung by a performer. In Keertanas and Varnams are the more difficult. These songs contain Anupallavi (verse), Pallavi (refrain) and Charanam (longest verse).