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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2001 Volume 56, Issue 3(339), Pages 3–78 (Mi rm393)

This article is cited in 23 papers

Isometric immersions of space forms into Riemannian and pseudo-Riemannian spaces of constant curvature

A. A. Borisenko

V. N. Karazin Kharkiv National University

Abstract: This survey contains results on local and global isometric immersions of two-dimensional and multidimensional Riemannian and pseudo-Riemannian space forms into spaces of constant sectional curvature.

UDC: 514.763

MSC: Primary 57N35, 53C42; Secondary 53C21, 57R42, 53A35, 37K40

Received: 11.07.2000

DOI: 10.4213/rm393


 English version:
Russian Mathematical Surveys, 2001, 56:3, 425–497

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© Steklov Math. Inst. of RAS, 2025