Lluis Antoni Santaló Sors, Spanish-born
Argentine geometer (Girona, Catalunya 09 October 1911 – Buenos Aires 22
November 2001) Regarded internationally as founder
of modern integral geometry and one of greatest geometers of the 20 ^{th}
centuryAuthored over 150 papers Authored 25 books between them
Vectores y Tensores (1961) and Integral Geometry and Geometric Probabilities
(1976) Invited Lecturer, International Congress of Mathematicians (1950)
With Chern regarded as founder of hyperbolic integral geometry Introduced kinetic density for sets of geodesies on two-dimensional surfaces Introduced affine unimodular invariant (1958) Obtained integral formulas for a two-dimensional Riemannian space of negative constant curvature Laid the mathematical foundations for the creation of stereology Introduced convex sets by horospheres Proposed a definition for absolute total curvatures of a Euclidean space closed subset Solved the problem of
one-dimensional foliations in a Riemann variety
A new affine invariant plane and solid convex bodies. Math Notae 16:78-91, 1958 Some integral formulas and a definition of q-dimensional area for a set of points. Rev. Univ. Nac. Tucumán 7:271-82, 1950 An affine invariant for convex bodies in n-dimensional space. Portugaliae Math. 8:155-61, 1949 An affine invariant for closed convex plane curves. Math. Notae 8:103-11, 1948 Some integral formulas referring to convex bodies. Rev. Un. Mat. Arg. 12:78-87, 1946 A theorem on conformal mapping. Math. Notae 5:29-40, 1945 An integral formula concerning convex figures. Rev. Uni. Mat. Argentina 8:165-91, 1942 A theorem and an inequality referring to rectificable curves. Amer. J. Math. 63:635-44, 1941 A theorem on sets of parallelepipeds with parallel edges. Publ. Inst. Mat. Univ. Nac. Litoral 2:49-60, 1940 EPONYMYBlaschke-Santaló inequality Blaschke-Chern-Santaló theorem Santaló bodies Santaló conjecture on convex sets Santaló K point Santaló point of a function Santaló formula LINKS |

Alphabetical List > S >