high order infinitesimal bending
high order rigidity
nondeformability
UDC:
513, 513.00, 513.7
Subject:
high order infinitesimal bending
high order rigidity
nondeformability
Main publications:
Zhestkost vtorogo poryadka zhelobov vrascheniya klassa $C^2$. Vestnik MGU, # 5, 1975, str. 47–52 (v soavtorstve s Sabitovym I. Kh.).
O tochkakh otnositelnoi nezhestkosti pri beskonechno malykh izgibaniyakh vtorogo poryadka sfericheskogo segmenta. Dep. v VINITI 21.02.84, # 993-84, 14 str.
O tochkakh otnositelnoi nezhestkosti pri beskonechno malykh izgibaniyakh tretego poryadka sfericheskogo segmenta. Dep. v VINITI 20.11.84, # 7378-84, 18 str.
O skolzyaschikh beskonechno malykh izgibaniyakh 3-go poryadka. Izvestiya SKNTs, seriya estestven. nauk, # 1, 1989 (v soavtorstve s Kononovoi E. N.).
O sootnoshenii mezhdu zhestkostyu -go poryadka i analiticheskoi neizgibaemostyu poverkhnostei. Ukrainskii geometricheskii sbornik, vyp. 34, 1991, str. 98–104.
The Relation between $k$th-Order Rigidity and Analitic Nondeformability of Surfaces. Journal of Mathematical Sciences, # 1, March, 1994, Plenum Publ. Corp., USA.
O svyazi mezhdu zhestkostyu poryadka i analiticheskoi neizgibaemostyu poverkhnostei. Matematicheskaya fizika, analiz, geometriya, t. 2, # 3/4, 1995, str. 456–461.
N. G. Perlova, “On the relation between the rigidity of order $k>3$ and analytic nonformability of surfaces”, Mat. Fiz. Anal. Geom., 2:3 (1995), 456–462
1982
2.
N. G. Perlova, V. T. Fomenko, “Class of correct exterior connections in the theory of deformations of surfaces”, Mat. Zametki, 31:6 (1982), 937–945; Math. Notes, 31:6 (1982), 473–477
1973
3.
N. G. Perlova, “On some second-order rigidity conditions for analytic surfaces”, Mat. Zametki, 14:2 (1973), 233–242; Math. Notes, 14:2 (1973), 692–697
N. G. Perlova, “The prolongation of first order infinitesimal deformations of closed ribbed surfaces of revolution to second order infinitesimal deformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 9, 84–89
1971
5.
N. G. Perlova, “Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel”, Mat. Zametki, 10:2 (1971), 135–144; Math. Notes, 10:2 (1971), 506–511
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