Keti Tenenblat | |
|---|---|
 Tenenblat in Berkeley in 1975 | |
| Born | 27 November 1944 Izmir, Turkey |
| Scientific career | |
| Fields | Mathematics |
Keti Tenenblat (born 27 November 1944 in Izmir, Turkey) is a Turkish-Brazilian mathematician working on Riemannian geometry, the applications of differential geometry to partial differential equations, and Finsler geometry. Together with Chuu-Lian Terng, she generalized Backlund theorem to higher dimensions.
She was born in 1944, in Turkey, where she attended elementary and junior high school at an Italian school. In 1957, her family emigrated to Brazil. In Rio de Janeiro, she graduated from high school at Bennett College and joined the National Faculty of Philosophy at the University of Brazil (today UFRJ), in the Mathematics Degree. [1]
From 1964 to 1968, she taught mathematics at a secondary school in Rio. She completed her university course in 1967 and began her higher education activities at the Institute of Mathematics of UFRJ in 1968. Between 08/1968 to 07/1969, she attended a master's degree in mathematics at the University of Michigan, USA, while accompanying her husband who was study abroad. Upon returning to Brazil, she returned to teaching at UFRJ and began a doctoral program at IMPA. She defended her doctoral dissertation entitled "An estimate for the length of closed geodesics in Riemannian varieties" in 1972, under the direction of Manfredo P. do Carmo. [1]
From 1973 she joined the faculty of the University of Brasilia (UnB) where she became a Full Professor in 1989. From 1975 to 1978 she pursued a postdoctoral position at the Department of Mathematics at the University of California, Berkeley. During this period, she developed her research under the influence of S. S. Chern and became interested in studying the interaction between differential geometry and differential equations. [1]
After 1978, her visits abroad were short-lived. She was a visiting professor at Yale University, MSRI Berkeley, Institute of Theoretical Physics, Santa Barbara, IMA Minnesota, University of Montreal, McGill University, CRM Montreal, Nankai Institute and Fudan Univ. China. [1]
She is a recipient of Brazil's National Order of Scientific Merit in Mathematics, [2] Emeritus Professor at the University of Brasília, [3] and was President of the Brazilian Mathematical Society in 1989–1991. [4] [5] She has been a member of the Brazilian Academy of Sciences since 1991. [6]
She is also the author of the books Introdução à geometria diferencial (1988), and Transformações de superfícies e aplicações (1981). [7]
In 1965, she married Moyses Tenenblat, an engineer graduated from the National School of Engineering. Children Dany (1970), Nitza (1973), Leo (1975) and grandchildren Gabriel (1995), Yuri (1998), Luisa (2000), Clara (2005), Milla (2007), Aylou (2009), and Luca (2014) were born of this marriage. [1]
Shing-Tung Yau is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and professor emeritus at Harvard University. Until 2022, Yau was the William Caspar Graustein Professor of Mathematics at Harvard, at which point he moved to Tsinghua.
Shiing-Shen Chern was a Chinese American mathematician and poet. He made fundamental contributions to differential geometry and topology. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize. In memory of Shiing-Shen Chern, the International Mathematical Union established the Chern Medal in 2010 to recognize "an individual whose accomplishments warrant the highest level of recognition for outstanding achievements in the field of mathematics."
In mathematics, the Chern theorem states that the Euler–Poincaré characteristic of a closed even-dimensional Riemannian manifold is equal to the integral of a certain polynomial of its curvature form.
In the mathematical field of differential geometry, Ricci-flatness is a condition on the curvature of a Riemannian manifold. Ricci-flat manifolds are a special kind of Einstein manifold. In theoretical physics, Ricci-flat Lorentzian manifolds are of fundamental interest, as they are the solutions of Einstein's field equations in a vacuum with vanishing cosmological constant.
Richard Streit Hamilton was an American mathematician who served as the Davies Professor of Mathematics at Columbia University.
In mathematics, a loop group is a group of loops in a topological group G with multiplication defined pointwise.
Shiu-Yuen Cheng (鄭紹遠) is a Hong Kong mathematician. He is currently the Chair Professor of Mathematics at the Hong Kong University of Science and Technology. Cheng received his Ph.D. in 1974, under the supervision of Shiing-Shen Chern, from University of California at Berkeley. Cheng then spent some years as a post-doctoral fellow and assistant professor at Princeton University and the State University of New York at Stony Brook. Then he became a full professor at University of California at Los Angeles. Cheng chaired the Mathematics departments of both the Chinese University of Hong Kong and the Hong Kong University of Science and Technology in the 1990s. In 2004, he became the Dean of Science at HKUST. In 2012, he became a fellow of the American Mathematical Society.
Thierry Aubin was a French mathematician who worked at the Centre de Mathématiques de Jussieu, and was a leading expert on Riemannian geometry and non-linear partial differential equations. His fundamental contributions to the theory of the Yamabe equation led, in conjunction with results of Trudinger and Schoen, to a proof of the Yamabe Conjecture: every compact Riemannian manifold can be conformally rescaled to produce a manifold of constant scalar curvature. Along with Yau, he also showed that Kähler manifolds with negative first Chern classes always admit Kähler–Einstein metrics, a result closely related to the Calabi conjecture. The latter result, established by Yau, provides the largest class of known examples of compact Einstein manifolds. Aubin was the first mathematician to propose the Cartan–Hadamard conjecture.
In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermal coordinates, the Riemannian metric locally has the form
Chuu-Lian Terng is a Taiwanese-American mathematician. Her research areas are differential geometry and integrable systems, with particular interests in completely integrable Hamiltonian partial differential equations and their relations to differential geometry, the geometry and topology of submanifolds in symmetric spaces, and the geometry of isometric actions.
Jerry Lawrence Kazdan is an American mathematician noted for his work in differential geometry and the study of partial differential equations. His contributions include the Berger–Kazdan comparison theorem, which was a key step in the proof of the Blaschke conjecture and the classification of Wiedersehen manifolds. His best-known work, done in collaboration with Frank Warner, dealt with the problem of prescribing the scalar curvature of a Riemannian metric.
In differential geometry, a breather surface is a one-parameter family of mathematical surfaces which correspond to breather solutions of the sine-Gordon equation, a differential equation appearing in theoretical physics. The surfaces have the remarkable property that they have constant curvature , where the curvature is well-defined. This makes them examples of generalized pseudospheres.
Elon Lages Lima was a Brazilian mathematician whose research concerned differential topology, algebraic topology, and differential geometry. Lima was an influential figure in the development of mathematics in Brazil.
The Geometry Festival is an annual mathematics conference held in the United States.
Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry.
Richard Sheldon Palais is an American mathematician working in differential geometry.
Manfredo Perdigão do Carmo was a Brazilian mathematician. He spent most of his career at IMPA and is seen as the doyen of differential geometry in Brazil.
David Gregory Ebin is an American mathematician, specializing in differential geometry.
Jang-Mei Wu is a Taiwanese-American mathematician specializing in complex analysis, potential theory, quasiconformal mapping, and partial differential equations. She is a professor emeritus at the University of Illinois at Urbana–Champaign.
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