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Benorin

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In summary, there is a connection between Riemannian geometry and astronomy through the use of general relativity. This was developed by Bernhard Riemann and is used to explain phenomena that Newton's laws could not. However, the use of tensors in this context may be too complex for the person asking the question. There may also be a connection between Riemann geometry and special relativity, specifically through the concept of Lorentz contraction. This can be further explored by reading the section on relativity and geometry on a recommended website.

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TIA,

Benorin

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http://www.superstringtheory.com/basics/basic2a.html, read the section on relativity and geometry.

Riemann's main contribution to astronomy is his theory of non-Euclidean geometry, which is the foundation for our understanding of curved space and the theory of relativity.

Riemann's theories helped to revolutionize our understanding of space and time, and paved the way for the development of Einstein's theory of general relativity. His work also had a major influence on modern cosmology and our understanding of the structure and evolution of the universe.

Riemannian geometry is a type of non-Euclidean geometry that allows for the possibility of curved space. This is crucial in understanding the behavior of objects in the universe, such as planets orbiting around a star or galaxies moving through space.

Riemann's theories, particularly his work on the curvature of space, played a key role in the development of black hole theory. His concepts of non-Euclidean geometry allowed scientists to understand the extreme gravitational effects of black holes and their impact on the fabric of space.

Absolutely. Riemann's theories are still used in modern cosmology and continue to be an important foundation for our understanding of the universe. His work on non-Euclidean geometry is also essential in the study of gravitational waves and the behavior of objects in the presence of strong gravitational fields.

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