Voir la notice de l'article provenant de la source Math-Net.Ru
@article{INTO_2019_169_a2, author = {S. B. Klimentov}, title = {On bending of surfaces of genus $p\geq 1$ of positive external curvature}, journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory}, pages = {17--22}, publisher = {mathdoc}, volume = {169}, year = {2019}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/INTO_2019_169_a2/} }
TY - JOUR AU - S. B. Klimentov TI - On bending of surfaces of genus $p\geq 1$ of positive external curvature JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2019 SP - 17 EP - 22 VL - 169 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2019_169_a2/ LA - ru ID - INTO_2019_169_a2 ER -
%0 Journal Article %A S. B. Klimentov %T On bending of surfaces of genus $p\geq 1$ of positive external curvature %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2019 %P 17-22 %V 169 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2019_169_a2/ %G ru %F INTO_2019_169_a2
S. B. Klimentov. On bending of surfaces of genus $p\geq 1$ of positive external curvature. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 2, Tome 169 (2019), pp. 17-22. http://geodesic.mathdoc.fr/item/INTO_2019_169_a2/
[1] Vekua I. N., Obobschennye analiticheskie funktsii, Fizmatgiz, M., 1959
[2] Zolotukhin Yu. P., Izgibaniya poverkhnostei polozhitelnoi vneshnei krivizny s razrezami v rimanovom prostranstve, Diss. na soisk. uch. step. kand. fiz.-mat. nauk, Odessa, 1980
[3] Zolotukhin Yu. P., “Ob odnoznachnoi opredelennosti poverkhnostei s razrezami v prostranstve postoyannoi krivizny”, Ukr. geom. sb., 27 (1984), 42–49 | MR | Zbl
[4] Zolotukhin Yu. P., “O zhestkosti poverkhnostei nenulevogo roda s kraem i razrezami v rimanovom prostranstve pri vneshnikh svyazyakh”, Izv. Sev.-Kav. tsentra vyssh. shkoly. Ser. Estestv. nauki., 1984, no. 1, 22–27 | MR
[5] Klimentov S. B., “Izgibaniya poverkhnostei roda $p \geq 0$ polozhitelnoi vneshnei krivizny”, Ukr. geom. sb., 19 (1976), 37–56 | Zbl
[6] Klimentov S. B., “Beskonechno malye izgibaniya poverkhnostei roda $p\geq 1$ polozhitelnoi vneshnei krivizny s kraevym usloviem obobschennogo skolzheniya”, Ukr. geom. sb., 19 (1976), 57–65 | Zbl
[7] Klimentov S. B., Izgibaniya poverkhnostei roda $p \geq 0$ polozhitelnoi vneshnei krivizny v rimanovom prostranstve, Diss. na soisk. uch. step. kand. fiz.-mat. nauk, Odessa, 1976
[8] Klimentov S. B., “O gladkosti reshenii kraevykh zadach teorii izgibanii poverkhnostei roda $p\geq 0$”, Ukr. geom. sb., 21 (1978), 34–44 | Zbl
[9] Klimentov S. B., “O deformatsiyakh zamknutykh poverkhnostei roda $p \geq 1$ s zadannym beskonechno malym izmeneniem metriki”, Mat. sb., 108:3 (1979), 307–325 | MR | Zbl
[10] Klimentov S. B., “O stepeni izgibaemosti poverkhnostei polozhitelnoi krivizny”, Ukr. geom. sb., 1981, no. 24, 39–52 | Zbl
[11] Klimentov S. B., Vvedenie v teoriyu izgibanii. Dvumernye poverkhnosti v trekhmernom evklidovom prostranstve, Izd-vo YuFU, Rostov-na-Donu, 2014
[12] Klimentov S. B., “Ob odnoznachnoi opredelennosti lokalno vypuklykh poverkhnostei polozhitelnoi krivizny roda $p \geq 0$ s kraem”, Sib. mat. zh., 60:1 (2019), 109–117 | MR | Zbl
[13] Pogorelov A. V., Nekotorye voprosy geometrii v tselom v rimanovom prostranstve, Izd-vo KhGU, Kharkov, 1957
[14] Pogorelov A. V., Vneshnyaya geometriya vypuklykh poverkhnostei, Nauka, M., 1969 | MR
[15] Sabitov I. Kh., “K voprosu o gladkosti izometrii”, Sib. mat. zh., 34:4 (1993), 169–176 | MR | Zbl
[16] Tyurikov E. V., Nekotorye kraevye zadachi teorii izgibanii poverkhnostei v prostranstve Lobachevskogo, Diss. na soisk. uch. step. kand. fiz.-mat. nauk, Rostov-na-Donu, 1975
[17] Tyurikov E. V., “O zhestkosti poverkhnostei roda $p \geq 1$ s kraem, raspolozhennykh v prostranstve Lobachevskogo”, Sib. mat. zh., 17:5 (1976), 1129–1140 | MR | Zbl
[18] Fomenko V. T., “O zhestkosti i odnoznachnoi opredelennosti zamknutykh poverkhnostei roda $p \geq 1$ v rimanovom prostranstve”, Dokl. AN SSSR., 213:1 (1973), 45–48 | Zbl
[19] Fomenko V. T., “Ob odnoznachnoi opredelennosti zamknutykh poverkhnostei roda $p \geq 1$ v prostranstve postoyannoi krivizny”, Mat. zametki., 16:3 (1974), 441–445 | Zbl
[20] Fomenko V. T., Klimentov S. B., “Ob izgibaniyakh poverkhnostei roda $p\geq 0$ polozhitelnoi vneshnei krivizny v rimanovom prostranstve”, Dokl. AN SSSR., 227:5 (1976), 1064–1066 | MR | Zbl
[21] Fomenko V. T., Klimentov S. B., “Neizgibaemost zamknutykh poverkhnostei roda $p \geq 1$ i polozhitelnoi vneshnei krivizny”, Mat. sb., 101:3 (1976), 402–415 | MR | Zbl
[22] Fomenko V. T., Tyurikov E. V., “Issledovanie osnovnykh uravnenii teorii poverkhnostei polozhitelnoi vneshnei krivizny, raspolozhennykh v prostranstve Lobachevskogo”, Izv. Sev.-Kav. tsentra vyssh. shkoly. Ser. Estestv. nauki., 1977, no. 3, 3–7
[23] Fomenko V. T., Zolotukhin Yu. P., “Issledovanie nekotorykh klassov dvustoronnikh vneshnikh svyazei teorii izgibanii poverkhnostei”, Izv. vuzov. Mat., 1984, no. 11, 71–74 | Zbl
[24] Shiffer M., Spenser D. K., Funktsionaly na konechnykh rimanovykh poverkhnostyakh, IL, M., 1957