Robert Osserman
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American mathematician
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Robert Ossermanmathematics Degrees
Mathematics
#511
World Rank
#998
Historical Rank
#232
USA Rank
Measure Theory
#1375
World Rank
#1726
Historical Rank
#479
USA Rank
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Mathematics
Why Is Robert Osserman Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert "Bob" Osserman was an American mathematician who worked in geometry. He is specially remembered for his work on the theory of minimal surfaces. Raised in Bronx, he went to Bronx High School of Science and New York University. He earned a Ph.D. in 1955 from Harvard University with the thesis Contributions to the Problem of Type supervised by Lars Ahlfors.
Robert Osserman's Published Works
Published Works
- A survey of minimal surfaces (1969) (1079)
- The isoperimetric inequality (1978) (783)
- A Panoramic View of Riemannian Geometry. (2005) (539)
- On the inequality $\Delta u\geq f(u)$. (1957) (498)
- Lectures on Minimal Surfaces. (1991) (358)
- BONNESEN-STYLE ISOPERIMETRIC INEQUALITIES (1979) (278)
- Global Properties of Minimal Surfaces in E 3 and E n (1964) (249)
- The Geometry of the Generalized Gauss Map (1981) (199)
- Curvature in the eighties (1990) (182)
- A Theory of Branched Immersions of Surfaces (1973) (180)
- Complete minimal surfaces in Euclideann-space (1967) (176)
- Studies in myasthenia gravis: effects of thymectomy. Results on 185 patients with nonthymomatous and thymomatous myasthenia gravis, 1941-1969. (1971) (174)
- A Proof of the Regularity Everywhere of the Classical Solution to Plateau's Problem (1970) (155)
- A sharp Schwarz inequality on the boundary (1997) (152)
- Manifolds with non-positive curvature (1985) (136)
- Studies in bullous diseases. Immunofluorescent serologic tests. (1968) (128)
- The Gauss Map of Surfaces in R3 and R4 (1985) (100)
- A note on Hayman's theorem on the bass note of a drum (1977) (72)
- DIRICHLET'S PRINCIPLE, CONFORMAL MAPPING AND MINIMAL SURFACES (1979) (69)
- On the Gauss map of complete surfaces of constant mean curvature in R3 and R4 (1982) (64)
- A histologic reappraisal of the thymus in myasthenia gravis. A correlative study of thymic pathology and response to thymectomy. (1971) (57)
- On complete minimal surfaces (1963) (54)
- The Four-or-More Vertex Theorem (1985) (45)
- Complete surfaces inE3 with constant mean curvature (1966) (44)
- Doubly-connected minimal surfaces (1975) (44)
- The Gauss map of surfaces in $\mathbf{R}^n$ (1983) (42)
- On the Gauss map and total curvature of complete minimal surfaces and an extension of Fujimoto's theorem (1990) (41)
- Minimal Surfaces, Gauss Maps, Total Curvature, Eigenvalue Estimates, and Stability (1980) (41)
- On the Gauss curvature of minimal surfaces (1960) (41)
- A new curvature invariant and entropy of geodesic flows (1984) (40)
- The convex hull property of immersed manifolds (1971) (35)
- On the Gauss curvature of non-parametric minimal surfaces (1964) (34)
- The area of the generalized Gaussian image and the stability of minimal surfaces inSn and ℝn (1982) (34)
- Proof of a conjecture of nirenberg (1959) (34)
- Geometry of the Laplace Operator (1982) (34)
- How the Gateway Arch Got its Shape (2010) (33)
- AREA BOUNDS FOR VARIOUS CLASSES OF SURFACES. (1975) (29)
- On analytic mappings of Riemann surfaces (1959) (27)
- Minimal surfaces in the large (1961) (25)
- FROM SCHWARZ TO PICK TO AHLFORS AND BEYOND (1999) (25)
- Studies in bullous diseases. Treatment of pemphigus vulgaris with immunosuppressives (steroids and methotrexate) and leucovorin calcium. (1971) (24)
- Global properties of classical minimal surfaces (1965) (24)
- János Bolyai , Non-Euclidean Geometry , and the Nature of Space (2005) (21)
- A new variant of the Schwarz–Pick–Ahlfors Lemma (1998) (21)
- Poetry of the Universe (1995) (21)
- Poetry of the universe : a mathematical exploration of the cosmos (1995) (20)
- Remarks on minimal surfaces (1959) (19)
- THE GAUSS MAP OF SURFACES IN R n (2008) (18)
- Remarks on the Riemannian metric of a minimal submanifold (1981) (17)
- An estimate for the Gauss curvature of minimal surfaces in ${\bf R}\sp m$ whose Gauss map omits a set of hyperplanes (1997) (16)
- Mathematics of the Gateway Arch (2009) (14)
- The nonexistence of branch points in the classical solution of Plateau’s problem (1969) (12)
- Riemann surfaces of class (1956) (12)
- On Bers' Theorem on Isolated Singularities (1973) (12)
- A strong form of the isoperimetric inequality in Rn (1987) (12)
- A hyperbolic surface in 3-space (1956) (11)
- Isoperimetric Inequalities and Eigenvalues of the Laplacian Robert Osserman (2010) (10)
- Some remarks on the isoperimetric inequality and a problem of gehring (1976) (9)
- An Analogue of the Heinz-Hopf Inequality (1959) (7)
- Some distortion theorems for multivalent mappings (1959) (7)
- Two-Dimensional Calculus (1977) (7)
- Geometry V : Minimal Surfaces (1997) (6)
- The Minimal Surface Equation (1984) (6)
- Mathematical Mapping from Mercator to the Millennium (2004) (6)
- AN ESTIMATE FOR THE GAUSS CURVATURE OF MINIMAL SURFACES IN R WHOSE GAUSS MAP OMITS A SET OF HYPERPLANES (1997) (6)
- Structure vs. Substance: The Fall and Rise of Geometry. (1981) (6)
- Kepler's Laws, Newton's Laws, and the Search for New Planets (2001) (4)
- Differential Geometry, Part 2 (1975) (4)
- INEQUALITIES FOR ANGULAR DERIVATIVES AT THE BOUNDARY OF THE UNIT DISC (2016) (3)
- The Mathematics of Lars Valerian Ahlfors (1998) (3)
- Hyperbolic surfaces of the formz=f(x, y) (1961) (3)
- Differential Geometry in the Large. By Heinz Hopf (1986) (3)
- Mathematics Takes Center Stage (2005) (2)
- A lemma on analytic curves. (1959) (2)
- AN EXTENSION OF CERTAIN RESULTS IN FUNCTION THEORY TO A CLASS OF SURFACES. (1959) (2)
- LARS VALERIAN AHLFORS (1907-1996) (1998) (2)
- Myasthenia gravis: a nursing care plan. (1972) (1)
- Some geometric properties of polynomial surfaces (1962) (1)
- Differential Geometry, Part 1 (1975) (0)
- Lectures on Minimal Surfaces, Vol. 1. By Johannes C. C. Nitsche (1991) (0)
- [112] Lars Valerian Ahlfors (1907–1996) (2017) (0)
- Differential geometry : [proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Stanford University, Stanford, California, July 30-August 17, 1973 (1975) (0)
- Review: Yu. D. Burago and V. A. Zalgaller, Geometric inequalities (1990) (0)
- Mathematics of the Heavens Robert Osserman (2005) (0)
- A HYPERBOLIC SURFACE IN 3-SPACE1 (2010) (0)
- Books-Received - Poetry of the Universe - a Mathematical Exploration of the Cosmos (1995) (0)
- On the solution of $f(f(z))=e\sp z-1$ and its domain of regularity (1957) (0)
- An estimate for the Gauss curvature of minimal surfaces in $\mathbb R^m$ whose Gauss map omits a set of hyperplanes (1996) (0)
- Remembering David Gale (2009) (0)
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