Home

Research/Bio

Publications

Presentations

Articles

Classes

On-line Math projects

Curve Shortening

More Links

Discussion

Recent Discussion

Create New Topic

List of research publications

September, 1998: Goergen Teaching Award Essay.

[1] 1 365 302 Gage, Michael E. Minkowski plane geometry and anisotropic curvature flow of curves. Curvature flows and related topics (Levico, 1994), 83--97, GAKUTO Internat. Ser. Math. Sci. Appl., 5, Gakk=otosho, Tokyo, 1995. (Reviewer: Anders Linnér) 58E10 (35K99 53A04)
Review in linked PDF | 

---

[2] 95g:53004 Gage, Michael E.; Li, Yi Evolving plane curves by curvature in relative geometries. II. Duke Math. J. 75 (1994), no. 1, 79--98. (Reviewer: Anders Linnér) 53A04 (58E10)
Review in linked PDF | 

---

[3] 94j:53001 Gage, Michael E. Evolving plane curves by curvature in relative geometries. Duke Math. J. 72 (1993), no. 2, 441--466. (Reviewer: Anders Linnér) 53A04 (58E10)
Review in linked PDF | 

---

[4] 93c:35066 Gage, Michael E. On the size of the blow-up set for a quasilinear parabolic equation. Geometry and nonlinear partial differential equations (Fayetteville, AR, 1990), 41--58, Contemp. Math., 127, Amer. Math. Soc., Providence, RI, 1992. (Reviewer: Zhen Chao Cao) 35K55 (35B05)
Review in linked PDF | 

---

[5] 92g:58021 Gage, Michael E. Deforming curves on convex surfaces to simple closed geodesics. Indiana Univ. Math. J. 39 (1990), no. 4, 1037--1059. 58E10 (53C45)
Review in linked PDF | 

---

[6] 91c:52011 Gage, Michael E. Positive centers and the Bonnesen inequality. Proc. Amer. Math. Soc. 110 (1990), no. 4, 1041--1048. (Reviewer: G. D. Chakerian) 52A40
Review in linked PDF | 

---

[7] 91a:53072 Gage, Michael E. Curve shortening on surfaces. Ann. Sci. École Norm. Sup. (4) 23 (1990), no. 2, 229--256. (Reviewer: Dennis M. DeTurck) 53C22 (35K55 58G11)
Review in linked PDF | 

---

[8] 89f:58128 Epstein, C. L.; Gage, Michael The curve shortening flow. Wave motion: theory, modelling, and computation (Berkeley, Calif., 1986), 15--59, Math. Sci. Res. Inst. Publ., 7, Springer, New York, 1987. (Reviewer: R. Osserman) 58G11 (53A04)
Review in linked PDF | 

---

[9] 87m:53003 Gage, M.; Hamilton, R. S. The heat equation shrinking convex plane curves. J. Differential Geom. 23 (1986), no. 1, 69--96. (Reviewer: R. Osserman) 53A04 (35K05 52A40 58E99 58G11)
Review in linked PDF | 

---

[10] 87g:53003 Gage, Michael On an area-preserving evolution equation for plane curves. Nonlinear problems in geometry (Mobile, Ala., 1985), 51--62, Contemp. Math., 51, Amer. Math. Soc., Providence, RI, 1986. (Reviewer: W. J. Firey) 53A04
Review in linked PDF | 

---

[11] 86d:55021 Gage, Michael E. A note on skew-Hopf fibrations. Proc. Amer. Math. Soc. 93 (1985), no. 1, 145--150. (Reviewer: C.-F. Bödigheimer) 55R25 (57R30)
Review in linked PDF | 

---

[12] 85i:52004 Gage, M. E. Curve shortening makes convex curves circular. Invent. Math. 76 (1984), no. 2, 357--364. (Reviewer: G. D. Chakerian) 52A40 (52A10)
Review in linked PDF | 

---

[13] 85d:52007 Gage, Michael E. An isoperimetric inequality with applications to curve shortening. Duke Math. J. 50 (1983), no. 4, 1225--1229. (Reviewer: R. Osserman) 52A40 (53A04)
Review in linked PDF | 

---

[14] 82j:52024 Gage, Michael E. On Gehring's linked sphere problem. Amer. J. Math. 103 (1981), no. 3, 437--443. (Reviewer: M. Edelstein) 52A99 (53C65)
Review in linked PDF | 

---

[15] 82b:58095 Gage, Michael E. Upper bounds for the first eigenvalue of the Laplace-Beltrami operator. Indiana Univ. Math. J. 29 (1980), no. 6, 897--912. (Reviewer: R. Osserman) 58G25 (58G30)
Review in linked PDF | 

---

[16] 82b:52017 Gage, Michael E. A proof of Gehring's linked spheres conjecture. Duke Math. J. 47 (1980), no. 3, 615--620. (Reviewer: M. Edelstein) 52A40 (57R99)
Review in linked PDF | 

---

(c) 2001, American Mathematical Society