Pseudosphere is not a type of geosphere. This term refers to geometry. Pseudosphere is a surface of constant negative curvature. The term was introduced by Eugenio Beltrami in his 1868 paper on models of hyperbolic geometry.

The geosphere is the collective name for the lithosphere, the hydrosphere, the cryosphere, and the atmosphere. All parts of the Earth System interact and are interrelated through climatic processes and through the hydrologic cycle and biogeochemical cycles. The Sun is the dominant source of all external energy to the Earth System.

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