Igor Nikolaev

973 total citations
35 papers, 524 citations indexed

About

Igor Nikolaev is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Igor Nikolaev has authored 35 papers receiving a total of 524 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 14 papers in Geometry and Topology and 11 papers in Mathematical Physics. Recurrent topics in Igor Nikolaev's work include Geometric Analysis and Curvature Flows (17 papers), Advanced Differential Geometry Research (10 papers) and Algebraic and Geometric Analysis (6 papers). Igor Nikolaev is often cited by papers focused on Geometric Analysis and Curvature Flows (17 papers), Advanced Differential Geometry Research (10 papers) and Algebraic and Geometric Analysis (6 papers). Igor Nikolaev collaborates with scholars based in United States, Russia and Canada. Igor Nikolaev's co-authors include Ina Berg, V. N. Berestovskiĭ, A. D. Aleksandrov, Dale G. Miquelle, Vladimir V. Aramilev, Ivan V. Seryodkin, В. В. Рожнов, Mark Hebblewhite, Hugh S. Robinson and J. A. Hernandez-Blanco and has published in prestigious journals such as Biological Conservation, Bulletin of the American Mathematical Society and Nonlinearity.

In The Last Decade

Igor Nikolaev

32 papers receiving 462 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Igor Nikolaev United States	11	258	240	150	117	92	35	524
Wojciech Kryszewski Poland	11	150 0.6×	476 2.0×	392 2.6×	27 0.2×	5 0.1×	44	740
Carlos Rocha Portugal	14	151 0.6×	165 0.7×	170 1.1×	18 0.2×	23 0.3×	34	704
Gilles Carron France	15	224 0.9×	500 2.1×	91 0.6×	63 0.5×	80 0.9×	53	670
Kuo-Shung Cheng Taiwan	13	121 0.5×	297 1.2×	137 0.9×	27 0.2×	24 0.3×	36	767
Graziano Crasta Italy	13	62 0.2×	350 1.5×	193 1.3×	30 0.3×	6 0.1×	57	574
Daniel Franco Spain	18	158 0.6×	711 3.0×	98 0.7×	91 0.8×	2 0.0×	71	1.1k
Cláudio Vidal Chile	13	158 0.6×	79 0.3×	12 0.1×	24 0.2×	255 2.8×	128	668
Bennett Palmer United States	14	297 1.2×	433 1.8×	60 0.4×	6 0.1×	139 1.5×	54	536
Juha Kinnunen Finland	23	302 1.2×	1.8k 7.4×	847 5.6×	29 0.2×	37 0.4×	76	2.1k
Christopher J. Bishop United States	16	548 2.1×	546 2.3×	126 0.8×	22 0.2×	8 0.1×	76	893

Countries citing papers authored by Igor Nikolaev

Since Specialization

Citations

This map shows the geographic impact of Igor Nikolaev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Igor Nikolaev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Igor Nikolaev more than expected).

Fields of papers citing papers by Igor Nikolaev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Igor Nikolaev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Igor Nikolaev. The network helps show where Igor Nikolaev may publish in the future.

Co-authorship network of co-authors of Igor Nikolaev

This figure shows the co-authorship network connecting the top 25 collaborators of Igor Nikolaev. A scholar is included among the top collaborators of Igor Nikolaev based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Igor Nikolaev. Igor Nikolaev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Berg, Ina & Igor Nikolaev. (2018). Characterization of Aleksandrov Spaces of Curvature Bounded Above by Means of the Metric Cauchy–Schwarz Inequality. The Michigan Mathematical Journal. 67(2). 1 indexed citations

Berg, Ina & Igor Nikolaev. (2017). K-Euler’s inequality in Aleksandrov’s CAT(K) space. Journal of Geometry. 108(3). 869–878. 1 indexed citations

Miquelle, Dale G., et al.. (2015). Identifying ecological corridors for Amur tigers (Panthera tigris altaica) and Amur leopards (Panthera pardus orientalis). Integrative Zoology. 10(4). 389–402. 31 indexed citations

Berg, Ina & Igor Nikolaev. (2007). On a distance characterization of A.D. Aleksandrov spaces of nonpositive curvature. Doklady Mathematics. 75(3). 336–338. 4 indexed citations

Miquelle, Dale G., et al.. (2007). A SURVEY OF AMUR (SIBERIAN) TIGERS IN THE RUSSIAN FAR EAST, 2004-2005. 12 indexed citations

Nikolaev, Igor. (2003). Approximation of a convex hypersurface with bounded positive specific scalar curvature [translated from it Proceedings of the Conference ``Geometry and Applications'' dedicated to the seventieth birthday of V. A. Toponogov (Russian) (Novosibirsk, 2000), 111--127, Ross. Akad. Nauk Sib. Otd., Inst. Mat., Novosibirsk, 2001; MR1858615]. Siberian Advances in Mathematics. 13(4). 4 indexed citations

Nikolaev, Igor. (2001). Foliations on Surfaces. CERN Document Server (European Organization for Nuclear Research). 15 indexed citations

Nikolaev, Igor. (1999). A metric characterization of Riemannian spaces. Siberian Advances in Mathematics. 9(4). 1–58. 4 indexed citations

Nikolaev, Igor. (1998). Finite groups and flows on 2-manifolds. Nonlinearity. 11(2). 213–231.

10.

Nikolaev, Igor. (1995). Stability problems in a theorem of F. Schur. Commentarii Mathematici Helvetici. 70(1). 210–234. 3 indexed citations

11.

Nikolaev, Igor. (1991). Bounded curvature closure of the set of compact Riemannian manifolds. Bulletin of the American Mathematical Society. 24(1). 171–177. 9 indexed citations

12.

Nikolaev, Igor. (1989). Axioms of Riemannian geometry. 307(4). 812–814. 2 indexed citations

13.

Nikolaev, Igor. (1989). Isotropic metric spaces. 305(6). 1314–1317. 2 indexed citations

14.

Nikolaev, Igor, et al.. (1986). Differential properties of mappings, conformal at a point. Siberian Mathematical Journal. 27(1). 106–114. 1 indexed citations

15.

Nikolaev, Igor, et al.. (1986). Smoothness of convex surfaces and generalized solutions of Monge-Amp�re equation on the basis of differential properties of quasiconformal maps. Siberian Mathematical Journal. 26(6). 841–851. 1 indexed citations

16.

Nikolaev, Igor. (1983). Parallel displacement of vectors in spaces of Aleksandrov two-side-bounded curvature. Siberian Mathematical Journal. 24(1). 106–119. 3 indexed citations

17.

Nikolaev, Igor. (1983). Parallel translation of vectors in spaces with curvature that is bilaterally bounded in the sense of A. D. Aleksandrov. 24(1). 3 indexed citations

18.

Nikolaev, Igor. (1983). Smoothness of the metric of spaces with two-sided bounded Aleksandrov curvature. Siberian Mathematical Journal. 24(2). 247–263. 12 indexed citations

19.

Nikolaev, Igor. (1979). Solution of the Plateau problem in spaces of curvature at most $K$. 20(2). 4 indexed citations

20.

Nikolaev, Igor. (1979). Solution of Plateau's problem in spaces of curvature no greater than K. Siberian Mathematical Journal. 20(2). 246–252. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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