Research output per year
Research output per year
Personal profile
Research Interests
Quasiconformal mappings, Monge-Ampere equations, regularity problems in Riemannian geometry.
Office Address
Department of Mathematics
343 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Office Phone
Fingerprint
Fingerprint is based on mining the text of the expert's scholarly documents to create an index of weighted terms, which defines the key subjects of each individual researcher.
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Research output
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Characterization of aleksandrov spaces of curvature bounded above by means of the metric cauchy–schwarz inequality
Berg, I. D. & Nikolaev, I. G., May 2018, In: Michigan Mathematical Journal. 67, 2, p. 289-332 44 p.Research output: Contribution to journal › Article › peer-review
Open Access -
K-Euler’s inequality in Aleksandrov’s CAT(K) space
Berg, I. D. & Nikolaev, I. G., Dec 1 2017, In: Journal of Geometry. 108, 3, p. 869-878 10 p.Research output: Contribution to journal › Article › peer-review
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Quasilinearization and curvature of Aleksandrov spaces
Berg, I. D. & Nikolaev, I. G., Apr 2008, In: Geometriae Dedicata. 133, 1, p. 195-218 24 p.Research output: Contribution to journal › Article › peer-review
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On a distance characterization of A.D. Aleksandrov spaces of nonpositive curvature
Berg, I. D. & Nikolaev, I. G., Jun 2007, In: Doklady Mathematics. 75, 3, p. 336-338 3 p.Research output: Contribution to journal › Article › peer-review
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On an extremal property of quadrilaterals in an Aleksandrov space of curvature $leq K$
Berg, I. D. & Nikolaev, I. G., 2007, The interaction of analysis and geometry. 1 ed. American Mathematical Society, Vol. 424. p. 1-15 15 p. (Contemp. Math.).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution