This courting is predicated at the indisputable fact that lots of the neighborhood houses of manifolds are expressed by way of partial differential equations. Chern and keti tenenblat is taken as the starting point, and the fact that every equation which describes pseudospherical surfaces is the. Applications of ribaucour transformations to a class of pdes. These were classified by chern and tenenblat in pseudospherical surfaces and evolution equations, stud. Twice a guggenheim fellow and the winner of many prestigious national and international awards, the professor at the. Dg 31 oct 2019 a note on isometric immersions and di. Laudatio for keti tenenblat laudatio for keti tenenblat carmo, manfredo 20111001 00. Keti tenenblat born 27 november 1944 in izmir, turkey is a turkishbrazilian mathematician working on riemannian geometry, the applications of differential geometry to partial differential equations, and finsler geometry. We consider the class of evolution equations of the form u t f u. According to our current online database, keti tenenblat has 23 students and 25 descendants. We extend our earlier results for secondorder evolution equations n.
Third order differential equations and local isometric. These geometric results will be applied to a class of partial di erential equations, whose solutions charac. Thirdorder differential equations and local isometric. Mathemategydd yw keti tenenblat ganed 27 tachwedd 1944, a gaiff ei hadnabod yn bennaf fel mathemategydd. Hi stuart, well, cant be sure that all reasonable implementations cope with calling the ext forms, but theyre legacy as you say.
Retrieve articles in proceedings of the american mathematical society with msc 2010. Mathscinet according to our current online database, keti tenenblat has 23 students and 25 descendants. In view of the observationsea and 3 above, we will restrict ourselves to equa tions of the form i. On four dimensional dupin hypersurfaces in euclidean space. These equations occupy a particularly special place amongst pss equations, since a. Document prepared in june, 2003 for the human development network. The interplay among differential geometry and partial differential equations has been studied because the final century. New travelling wave solutions for sinegordon equation sun, yunchuan, journal of applied mathematics, 2014. The soliton content of the camassaholm and huntersaxton. Our paper is concerned with the question of the local isometric immersion in e 3 of the pseudospherical surfaces defined by the solutions of equations belonging to the class introduced by chern and tenenblat pseudospherical surfaces and evolution equations, stud. Tenenblat, local isometric immersions of pseudospherical surfaces and. Laudatio for keti tenenblat, results in mathematics 10. Submanifolds of constant scalar curvature in a hyperbolic space form hou, zhong hua, taiwanese journal of. Journal of differential equations vol 268, issue 11.
Curvature and rigidity of willmore submanifolds shu, shichang, tsukuba journal of mathematics, 2007. Buy transformations of manifolds and applications to differential equations monographs and surveys in pure and applied mathematics on free shipping on qualified orders. Ams proceedings of the american mathematical society. Keti tenenblat the ndimensional hyperbolic submanifolds m n of the euclidean space r2n are in correspondence with solutions of a system of differential equa tions called the intrinsic generalized sinegordon equation. Local isometric immersions of pseudospherical surfaces. Find, read and cite all the research you need on researchgate. Together with chuulian terng, she generalized backlund theorem to. Protectourcoastline your search result for keti tenenblat. This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by manfredo p.
Orloffs book about combining psychic and scientific ways of thinking. The mathematical sciences research institute msri, founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the national science foundation, foundations, corporations, and more than 90 universities and institutions. Free music archive instrumental the free music archive offers free downloads under creative commons and other licenses. Download keti tenenblat introducao a geometria diferencial edgard blucher 2008. Tenenblat, local isometric immersions of pseudospherical surfaces and evolution equations, fields inst. Pdf minimal surfaces of rotation in finsler space with a. In this paper, we provide families of second order nonlinear partial differential equations, describing pseudospherical surfaces pss equations, with the property of having local isometric. Minimal surfaces of rotation in finsler space with a randers metric. In this paper, we provide families of second order nonlinear partial differential equations, describing pseudospherical surfaces pss equations, with the property of having local isometric immersions in e3, with principal curvatures depending on finiteorder jets of solutions of the differential equation. Numerous and frequentlyupdated resource results are available from this search. The reform of secondary education in brazil internet archive. Keti tenenblat is a turkishbrazilian mathematician working on riemannian geometry, the. Pdf laplace transformation in higher dimensions researchgate.
The institute is located at 17 gauss way, on the university of california, berkeley campus, close to grizzly peak, on the. Ricci almost solitons on semiriemannian warped products. Keti tenenblat1, hiuri fellipe santos dos reis 1 university of bras lia it is shown that a curve on the unit sphere is a non trivial soliton solution to the curve shortening flow if, and only if, its geodesic curvature is proportional to the inner product between its tangent vector. Reliable information about the coronavirus covid19 is available from the world health organization current situation, international travel.
An extrinsic rigidity theorem for submanifolds with parallel mean curvature in a sphere xu, hongwei, huang, fei, and xiang, fei, kodai mathematical journal, 2011. The structure of equations describing pseudospherical surfaces introduced by s. On ribaucour transformations and applications to linear. Ganed keti tenenblat ar 27 tachwedd 1944 ac wedi gadael yr ysgol leol bun astudio gwyddoniaeth. Similarly, flat sub manifolds m n of the unit sphere s2nl. Documentos semelhantes a keti tenenblat introducao a geometria diferencial edgard blucher 2008. The permutability theorem for such transformations will be proved. On the solution of the generalized wave and generalized sine. Keti tenenblat introducao a geometria diferencial edgard. On the integrability of scalar partial differential equations in two independent variables. Gauge equivalence of differential equations describing surfaces of constant gaussian curvature qing ding, keti tenenblat institute of mathematics, fudan university, shanghai 200433, china email. On isometric immersions of riemannian manifolds springerlink. This class of equations is characterized by the property that to each solution of such an equation.
On the integrability of scalar partial differential. The proof is based on the theory of higherdimensional laplace invariants, which we recall in section 2, and the properties of dupin hypersurfaces with distinct principal curvatures, given in section 3. To submit students of this mathematician, please use the new data form, noting this mathematicians mgp id of 53616 for the advisor id. Oclcs webjunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.
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