# Aleksei Pogorelov

**Aleksei Vasil'evich Pogorelov** (Russian: Алексе́й Васи́льевич Погоре́лов, Ukrainian: Олексі́й Васи́льович Погорє́лов; March 2, 1919 – December 17, 2002), was a Soviet and Ukrainian mathematician. He was most famous for his contributions to convex and differential geometry. He was also the author of a number of influential research monographs as well as popular high school and college textbooks.

## Biography

Pogorelov was born in Korocha, Kursk Governorate, Russian Soviet Federative Socialist Republic (now Belgorod Oblast, Russia) and died in Moscow. For much of his life he worked in Kharkiv (Ukraine) (from 1937 until 2000), first at the Kharkiv State University and then at the B Verkin Institute for Low Temperature Physics and Engineering. He wrote his dissertation under the supervision of A.D. Alexandrov and Nikolai Efimov. His books on intrinsic geometry of convex bodies, Hilbert's fourth problem, multidimensional Minkowski problem, and Monge–Ampère equation were translated to other languages and became standard in the field.

Pogorelov was a member of the Soviet and Ukrainian Academy of Sciences, recipient of Stalin Prize (1950), Lobachevsky International Prize (1959), Lenin Prize (1962), and other honours.

## Selected publications

*Topics in the theory of surfaces in elliptic spaces*. Gordon & Breach. 1961.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>*Extrinsic geometry of convex surfaces*. AMS. 1973.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>*The Minkowski multidimensional problem*. V. H. Winston. 1978.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>^{[1]}*Hilbert's fourth problem*. V. H. Winston. 1979.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>^{[2]}*Bending of surfaces and stability of shells*. AMS. 1988.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>*Busemann regular G-spaces*. Harwood. 1999.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>*Geometry [translated from the Russian by Leonid Levant, Aleksandr Repyev and Oleg Efimov.]. Moscow: Mir Publishers (1987). ISBN 0714725536. ISBN 978-0714725536.*

## References

- ↑ Calabi, Eugenio (1979). "Review:
*The Minkowski multidimensional problem*, by A. V. Pogorelov, trans. by V. Oliker".*Bull. Amer. Math. Soc. (N.S.)*.**1**(4): 636–639. doi:10.1090/s0273-0979-1979-14645-7.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> - ↑ Busemann, Herbert (1981). "Review:
*Hilbert's fourth problem*, by A. V. Pogorelov".*Bull. Amer. Math. Soc. (N.S.)*.**4**(1): 87–90. doi:10.1090/S0273-0979-1981-14867-9.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>

## See also

## References

- A.D. Aleksandrov; et al. (1999). "Aleksei Vasilevich Pogorelov (on the occasion of his eightieth birthday)".
*Russian Mathematical Surveys*.**54**(4): 869–872. Bibcode:1999RuMaS..54..869A. doi:10.1070/RM1999v054n04ABEH000201.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> - V.A. Aleksandrov; et al. (2003). "Aleksei Vasilevich Pogorelov (obituary)".
*Russian Mathematical Surveys*.**58**(3): 593–596. Bibcode:2003RuMaS..58..593A. doi:10.1070/RM2003v058n03ABEH000638.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>

## External links

- Aleksei Pogorelov at the Mathematics Genealogy Project
- Website dedicated to Pogorelov and his work
- Biography – at the B. Verkin Institute for Low Temperature Physics and Engineering
- Works by or about Aleksei Pogorelov in libraries (WorldCat catalog)
- O'Connor, John J.; Robertson, Edmund F., "Aleksei Pogorelov",
*MacTutor History of Mathematics archive*, University of St Andrews<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.

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- 1919 births
- 2002 deaths
- People from Korochansky District
- 20th-century mathematicians
- Ukrainian people of Russian descent
- Ukrainian mathematicians
- Ukrainian physicists
- Soviet mathematicians
- Soviet physicists
- Differential geometers
- University of Kharkiv alumni
- Full Members of the USSR Academy of Sciences
- Full Members of the Russian Academy of Sciences
- Stalin Prize winners
- Textbook writers