Cello Concerto In The Baroque Era

Not only there are many concertos written in the classical era, but also famous suits for cellos were written, such as Cello Suits by Johann Sebastian Bach. I would like to play the cello in the Classical era because of its rich color, deep tones, and wide variety of sounds. In the Baroque era, Antonio Vivaldi composed at least 25 cello concertos and one of them is Cello Concerto in C Major RV 398. It has three movements in the order of allegro, largo, allegro (IMSLP). Sonata form did not exist in the Baroque era; however, the forms that define sonata form existed such as the Cello Concerto in C Major RV 398 is in sonata form.
In the Classical era, Joseph Haydn composed five cello concertos, Cello Concerto No. 4 in D major, Hob. VIIb:4 in 1776. It has three movements and they are in allegretto, adagio, and allegro (IMSLP). This form defines that this concerto is in sonata form.
In the Romantic era, Camille Saint-Saëns composed three cell concertos and the first one he composed is Cello Concerto No. 1 in A minor, Op. 33 in 1872. There are three movements and the structure is allegro non troppo, allegretto con moto, and molto allegro (IMSLP).
This concerto is in three movements, moderato, allegro appassionato, and theme and improvisations which ends in adagio (Walton Cello Concerto). The finale contains four improvisations, two for orchestra and two for the solo cello. In the previous era, concerto often has three movement in the fast-slow-fast forms and the composers indicate each movement by the tempo. In this cello concerto, however, the first and second movement is indicated by the tempo and the third movement is indicated by the theme and improvisations and ends with a quiet conclusion (Walton Cello