No, there are no private mansions located within the boundaries of Central Park in New York City. The park was designed by Frederick Law Olmsted and Calvert Vaux as a public space "for the people," and it has remained free of private residential development since its inception in the 1850s. However, there are several grand, historic buildings that might be mistaken for mansions. The most prominent is the Gracie Mansion, which serves as the official residence of the Mayor of New York City, but it is actually located in Carl Schurz Park on the Upper East Side, not Central Park. Within Central Park itself, you will find structures like the Belvedere Castle, a Victorian folly that serves as a lookout and weather station, and the Metropolitan Museum of Art, which is a massive complex but not a residence. There is also the Arsenal, which houses the Parks Department headquarters. While the perimeter of the park is lined with some of the most expensive and extravagant private mansions and penthouse apartments in the world—collectively known as "Billionaires' Row" and the "Gold Coast"—the park's interior is strictly dedicated to public recreation, monuments, and nature.