| 11. | In particular isometries of surfaces preserve Gaussian curvature.
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| 12. | So take a little piece of two-dimensional space with positive Gaussian curvature.
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| 13. | Its surface has zero Gaussian curvature everywhere.
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| 14. | During the process, the Gaussian curvature of the surface at each point remains constant.
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| 15. | Formally, in mathematics, a developable surface is a surface with zero Gaussian curvature.
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| 16. | The Gaussian curvature of a location in spacetime equals the mass-energy density there.
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| 17. | In the descriptions below the constant Gaussian curvature of the plane is " 1.
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| 18. | In particular, the twisted paper model is a developable surface, having zero Gaussian curvature.
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| 19. | If it were, then it would be a local isometry and would preserve Gaussian curvature.
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| 20. | These all have positive Gaussian curvature.
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