Ralph Howard

1.2k total citations
37 papers, 671 citations indexed

About

Ralph Howard is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Ralph Howard has authored 37 papers receiving a total of 671 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Applied Mathematics, 13 papers in Geometry and Topology and 11 papers in Mathematical Physics. Recurrent topics in Ralph Howard's work include Geometric Analysis and Curvature Flows (12 papers), Point processes and geometric inequalities (9 papers) and Functional Equations Stability Results (6 papers). Ralph Howard is often cited by papers focused on Geometric Analysis and Curvature Flows (12 papers), Point processes and geometric inequalities (9 papers) and Functional Equations Stability Results (6 papers). Ralph Howard collaborates with scholars based in United States, France and Sweden. Ralph Howard's co-authors include Charles A. Micchelli, Ronald DeVore, Gregory J. Galloway, James C. Bezdek, Richard J. Hathaway, Michael P. Windham, Piotr T. Chruściel, Cyrus A. Wilson, Paul Goodey and Erwann Delay and has published in prestigious journals such as IEEE Transactions on Industry Applications, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Ralph Howard

33 papers receiving 587 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ralph Howard United States	14	326	167	120	120	116	37	671
Werner Greub Canada	10	254 0.8×	313 1.9×	71 0.6×	158 1.3×	276 2.4×	17	887
Marc Arnaudon France	13	316 1.0×	126 0.8×	102 0.8×	102 0.8×	129 1.1×	58	711
Ovidiu Calin United States	13	289 0.9×	148 0.9×	57 0.5×	68 0.6×	122 1.1×	52	583
F. Silva Leite Portugal	17	231 0.7×	263 1.6×	73 0.6×	125 1.0×	90 0.8×	74	936
Isaac Chavel United States	15	751 2.3×	443 2.7×	30 0.3×	230 1.9×	370 3.2×	33	1.1k
Jean-Jacques Risler France	11	282 0.9×	338 2.0×	37 0.3×	238 2.0×	172 1.5×	34	739
L. Auslander United States	20	398 1.2×	426 2.6×	66 0.6×	144 1.2×	476 4.1×	55	1.2k
V. М. Alekseev Russia	9	138 0.4×	102 0.6×	41 0.3×	283 2.4×	276 2.4×	35	910
Martial Agueh Canada	10	336 1.0×	65 0.4×	94 0.8×	137 1.1×	113 1.0×	27	635
Dale Husemöller United States	9	187 0.6×	750 4.5×	88 0.7×	177 1.5×	674 5.8×	19	1.2k

Countries citing papers authored by Ralph Howard

Since Specialization

Citations

This map shows the geographic impact of Ralph Howard'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 Ralph Howard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ralph Howard more than expected).

Fields of papers citing papers by Ralph Howard

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ralph Howard. 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 Ralph Howard. The network helps show where Ralph Howard may publish in the future.

Co-authorship network of co-authors of Ralph Howard

This figure shows the co-authorship network connecting the top 25 collaborators of Ralph Howard. A scholar is included among the top collaborators of Ralph Howard 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 Ralph Howard. Ralph Howard 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

Howard, Ralph. (2018). The Volume of Tubes in Homogeneous Spaces. CaltechTHESIS (California Institute of Technology).

Howard, Ralph & Daniel Hug. (2007). Smooth convex bodies with proportional projection functions. Israel Journal of Mathematics. 159(1). 317–341. 3 indexed citations

Howard, Ralph & Daniel Hug. (2007). Nakajima's Problem: Convex Bodies of Constant Width and Constant Brightness. Mathematika. 54(1-2). 15–24. 4 indexed citations

Howard, Ralph. (2006). Convex bodies of constant width and constant brightness. Advances in Mathematics. 204(1). 241–261. 18 indexed citations

Howard, Ralph, et al.. (2006). A general theory of almost convex functions. Transactions of the American Mathematical Society. 358(8). 3413–3445. 5 indexed citations

Howard, Ralph. (2005). Constructing Complete Projectively Flat Connections. Rocky Mountain Journal of Mathematics. 35(6).

Chen, Wen, Ralph Howard, Erwin Lutwak, Da Yang, & G. Zhang. (2004). A generalized affine isoperimetric inequality. Journal of Geometric Analysis. 14(4). 597–612. 17 indexed citations

Dilworth, S. J., Ralph Howard, & James W. Roberts. (2002). Extremal Approximately Convex Functions and the Best Constants in a Theorem of Hyers and Ulam. Advances in Mathematics. 172(1). 1–14. 7 indexed citations

Cantarella, Jason, et al.. (2002). Circles minimize most knot energies. Topology. 42(2). 381–394. 32 indexed citations

10.

Dilworth, S. J., Ralph Howard, & James W. Roberts. (2000). On the size of approximately convex sets in normed spaces. Studia Mathematica. 140(3). 213–241. 4 indexed citations

11.

Dilworth, S. J., Ralph Howard, & James W. Roberts. (1999). Extremal Approximately Convex Functions and Estimating the Size of Convex Hulls. Advances in Mathematics. 148(1). 1–43. 10 indexed citations

12.

Andersson, Lars & Ralph Howard. (1998). Comparison and rigidity theorems in semi-Riemannian geometry. Communications in Analysis and Geometry. 6(4). 819–877. 1 indexed citations

13.

Andersson, Lars, Gregory J. Galloway, & Ralph Howard. (1998). A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry. Communications on Pure and Applied Mathematics. 51(6). 581–624. 19 indexed citations

14.

Howard, Ralph & Andrejs Treibergs. (1995). A Reverse Isoperimetric Inequality, Stability and Extremal Theorems for Plane Curves with Bounded Curvature. Rocky Mountain Journal of Mathematics. 25(2). 22 indexed citations

15.

Howard, Ralph. (1993). The kinematic formula in Riemannian homogeneous spaces. Memoirs of the American Mathematical Society. 106(509). 0–0. 75 indexed citations

16.

Howard, Ralph, et al.. (1992). Characterization of Eigenfunctions by Boundedness Conditions. Canadian Mathematical Bulletin. 35(2). 204–213. 15 indexed citations

17.

Goodey, Paul & Ralph Howard. (1990). Processes of flats induced by higher dimensional processes. Advances in Mathematics. 80(1). 92–109. 24 indexed citations

18.

Howard, Ralph & Anton R. Schep. (1990). Norms of positive operators on 𝐿^{𝑝}-spaces. Proceedings of the American Mathematical Society. 109(1). 135–146. 13 indexed citations

19.

Howard, Ralph. (1980). Linear maps that preserve matrices annihilated by a polynomial. Linear Algebra and its Applications. 30. 167–176. 24 indexed citations

20.

Howard, Ralph. (1980). Dimension inequalities on the range of a multilinear function with vector space range. Linear and Multilinear Algebra. 8(3). 247–252. 1 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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