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  2. List of PDF software - Wikipedia

    en.wikipedia.org/wiki/List_of_PDF_software

    A PDF creator and virtual PDF printer for Microsoft Windows PDF-XChange: Proprietary: Yes: PDF Tools allows creation of PDFs from many types of source input (images, scans, etc.). The PDF-XChange print driver allows printing directly to a PDF. A "lite" version of the print driver is free for non-commercial (home and academic) use. PrimoPDF ...

  3. Manfredo do Carmo - Wikipedia

    en.wikipedia.org/wiki/Manfredo_do_Carmo

    Manfredo Perdigão do Carmo (15 August 1928, Maceió – 30 April 2018, Rio de Janeiro) was a Brazilian mathematician. He spent most of his career at IMPA and is seen as the doyen of differential geometry in Brazil.

  4. PDF Studio - Wikipedia

    en.wikipedia.org/wiki/PDF_Studio

    PDF Studio is a commercial desktop application from Qoppa Software to create, convert, review, annotate, and edit Portable Document Format (PDF) documents. System requirements [ edit ]

  5. Hilbert's theorem (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_theorem...

    This proof is basically the same as in Hilbert's paper, although based in the books of Do Carmo and Spivak. Observations : In order to have a more manageable treatment, but without loss of generality , the curvature may be considered equal to minus one, K = − 1 {\displaystyle K=-1} .

  6. Differential geometry of surfaces - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry_of...

    A surprising result of Carl Friedrich Gauss, known as the theorema egregium, showed that the Gaussian curvature of a surface, which by its definition has to do with how curves on the surface change directions in three dimensional space, can actually be measured by the lengths of curves lying on the surfaces together with the angles made when ...

  7. Riemannian manifold - Wikipedia

    en.wikipedia.org/wiki/Riemannian_manifold

    A tangent plane of the sphere with two vectors in it. A Riemannian metric allows one to take the inner product of these vectors. Let be a smooth manifold.For each point , there is an associated vector space called the tangent space of at .

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