Publications of Chuu-Lian Terng

- Natural vector bundles and natural differential operators, Amer. J. Math. 100 (1978) 775-828.
- (with R. S. Palais) Natural bundles have ﬁnite order, Top. 16 (1977), 271-277
- (with K. Tenenblat) A higher dimensional generalization of the Sine- Gordon equation and its B¨acklund transformation, Announcement in Bull. AMS 1 (1979), 589-593.
- (with S. S. Chern) An analogoue of B¨acklund’s theorem in aﬃne geometry, Rocky Mount. J. Math. 10 (1980), 105-124.
- (with K. Tenenblat) B¨acklund’s theorem for n-dimensional submanifolds of R2n−1 , Ann. of Math. 111 (1980) 477-490.
- A higher dimension generalization of the Sine-Gordon equation and its soliton theory, Ann. of Math. 111 (1980) 491-510.
- (with C. K. Peng) The scalar curvature of minimal hypersurfaces in sphere, Math. Ann. 266 (1983), 105-113.
- (with C. K. Peng) Minimal hypersurfaces of spheres with constant scalar curvature, Ann. of Math. Study 103 (1983) edited by E. Bombieri, 177-198.
- Aﬃne minimal surfaces, Seminar on minimal submanifolds, Ann. of Math. Stud. 103 (1983), 207-216
- B¨acklund transformation and its origin in differential geometry and Lie group, Proc. Sym. Diff. Geometry and Diff. equations, Shanghai- Hefei (1981), Sciences Press (1984), 413-440.
- (with W. Y. Hsiang & R. S. Palais) The topology and geometry of isoparametric submanifolds in Euclidean spaces, announcement Proc. Nat. Acad. Sci. USA (1985) 4863-4865.
- Isoparametric submanifolds and their Coxeter groups, J. Differential Geometry. 21(1985), 79-107.
- A convexity theorem for isoparametric submanifolds, Invent. Math. 112 (1986) 487-492.
- (with R. S. Palais) Reduction of variables for minimal submanifolds, Proceedings. Amer. Math. Soc. 98 (1986) 480-484.
- (with R. S. Palais) A general theory of canonical forms, Transaction, Amer. Math. Soc. 300 (1987) 771-789.
- Geometric Canonical Form, Contemporary Math. The Legacy of Sonya Kovalevskaya, AMS. vol 64 (1986) 133-151, with R. S. Palais.
- Some geometric development related to Kovalewski’s work, Contemporary Math. The Legacy of Sonya Kovalevskaya, AMS. vol 64 (1986) 195-205

- Submanifolds with ﬂat normal bundles, Math. Ann. 277 (1987) 95-111.

- (with W. Y. Hsiang & R. S. Palais) The topology of isoparametric submanifolds in Euclidean spaces, J. of Diff. Geometry, 27 (1988), 423-460.
- (with Richard Palais) Critical point theory and Submanifold Geom- etry, Lecture notes in Mathematics, vol. 1353, Springer-Verlag, NY. 1988
- Proper Fredholm submanifolds of Hilbert space, J. of Diff. Geometry 29 (1989), 9-47.
- Variational completeness and inﬁnite dimensional geometry, Proceedings of Leeds Conference, 1990, edited by Verstraelen and West, Geometry and Topology of Submanifolds, vol. III, World Scientiﬁc, Singapore, 279-293
- (with R. S. Palais) The life and mathematics of Shiing Shen Chern. Chern – a great geometer of the twentieth century, 18–62, Internat. Press, Hong Kong, 1992
- Convexity theorem for inﬁnite dimensional isoparametric submanifolds, Invent. Math. 112, 9-22, 1993

(25) Recent Progress in Submanifold Geometry, Proceedings of Symposia in Pure Mathematics, vol 54 (1993), Part I, 439-484 - Recent Progress in Submanifold Geometry, Proceedings of Symposia in Pure Mathematics, vol 54 (1993), Part I, 439-484
- (with C. King) Minimal submanifolds in path spaces, Global Anal- ysis in Modern Mathematics, edited by K. Uhlenbeck, Publish or Perish, 1993, p. 253-282
- with E. Heintze, R.S. Palais, G. Thorbergsson) Hyperpolar actions and k-ﬂat homogeneous space, J. Reine Angew Math. 454 (1994) 163-179.
- Polar actions on Hilbert space, J. Geom. Anal. 5 (1995), 129-150
- with E. Heintze, R.S. Palais, G. Thorbergsson) Hyperpolar actions on Symmetric spaces, In ”Geometry, Topology, and Physics For Raoul Bott”, edited by S.T. Yau, International Press (1995) 214- 245
- (with G. Thorbergsson) Submanifold Geomtry in Symmetric spaces, J. Differential Geometry, 42 (1995) 665-718
- Solitons and Differential Geometry, J. Differential Geometry 45(1997) 407-44
- (with G. Thorbergsson) Taut immersions in a complete Riemannian manifold, Tight and Taut immersions , MSRI Publications 32(1997), 181-228
- (with K. Uhlenbeck) editor, Surveys in Differential Geometry, IV: Integrable Systems, A supplement to J. Differential Geometry
- (with K. Uhlenbeck) Poisson actions and scattering theory for integrable systems, Surveys in Differential Geometry, IV: Integrable Systems, A supplement to J. Differential Geometry, 4(1999), 315- 402
- (with K. Uhlenbeck) B¨acklund transformations and loop group actions, Comm. Pure Appl. Math. 53(2000) 1-75
- (with K. Uhlenbeck) Geometry of solitons, Notices of AMS, 47(2000), 17-25
- (with G. Thorbergsson) Completely integrable curve ﬂows on Adjoint orbits, Result. Math. 40 (2001), 286–30
- (with M. Br¨uck, X. Du, J. Park) Submanifold geometry of real Grassmannian systems, Memoirs of the AMS, vol 155 (2002), 102 pp.
- (with K. Uhlenbeck) 1 + 1 wave maps into symmetric spaces, Comm. Anal. Geom. 12 (2004), 345-388
- (with E. Wang) Curve ﬂats, exterior Differential systems, and conservation laws, Complex, Contact and Symmetric Manifolds, Progr. Math. 234 (2005), 235-254
- (with B. Dai) Periodic and homoclinic solutions of the modiﬁed 2 + 1 Chiral model, J. Math. Physics 46 (2005), 14 pp.
- Integrable systems, Geometry, and Topology, editor, AMS/IP Studies in Advanced Mathematics, 36 (2006), 256 pp.
- (with K. Uhlenbeck) Schr¨odinger ﬂows on Grassmannians, Integrable systems, Geometry, and Topology, AMS/IP Stud. Adv. Math. 36 (2006), 235-256
- (with S. Kong, E. Wang) Associative cones and integrable systems, Chinese Annals of Mathematics 27 (2006), a special issue in memory of S. S. Chern, 153-168
- Applications of loop group factorization to geometric soliton equations, Proceedings of International Congress of Mathematicians, Madrid 2006, pp. 927-950
- (with B. Dai, K. Uhlenbeck) On the space-time monopole equations, Surveys in Differential geometry. Vol. X, 1–30, Surv. Differential. Geom., Int. Press, Somerville, MA, 2006
- (with B. Dai) B¨acklund transformations, Ward solitons, and unitons, J. Differential Geom. 75(2007), 57–108
- (with E. Wang) Transformations of flat Lagrangian immersions and Egoroff nets, Asian J. Math. 12 (2008), no. 1, 99--119.
- Geometries and symmetries of soliton equations and integrable elliptic systems, 401–488, Adv. Stud. Pure Math., 51, Math. Soc. Japan, Tokyo, 2008
- (with X. Liu) The mean curvature ﬂow on isoparametric submanifolds, Duke Math. J. 147 (2009), no. 1, 157--179
- (with K. Uhlenbeck) The n × n KdV ﬂows,J. Fixed Point Theory and its Applications, 10 (2011) 37-61, ArXiv: nlin.SI/061100
- (with N. Donaldson) Conformally ﬂat submanifolds in spheres and integrable systems, Tohoku Math. J. 63 (2011) 277-302, arXiv:0803.2754
- (with N. Donaldson) Isothermic submanifolds, J. Geom. Anal. 22 (2012) 827-844
- Soliton Hierarchies Constructed from Involutions, Studies in Advanced Mathe- matics 48 (2010), 367-381
- Geometry transformations and soliton equations,Advanced Lectures in Mathematics 13 (2010) 301-358
- (with Z.Wu)Central affine curve flow on the plane, J. Fixed Point Theory Appl., 14 (2013) 375 - 396
- Dispersive geometric curve flows, Surveys in Differential Geometry, XIX (2015), 179-230
- (with K.Uhlenbeck) Tau functions and Virasoro action for the n×n KdV hierarchy, Comm. Math. Phys. 342 (2016) 81-116 <\li>
- (with K. Uhlenbeck) Tau functions and Virasoro actions for soliton hierarchies, Comm. Math. Phys. 342 (2016) 117-150 <\li>
- (with Z. Wu) N-dimension Central Affine Curve Flows, J. Differential Geom. 111 (2019), no. 1, 145 -189. <\li>
- (with Z. Wu) Ba ̈cklund transformations for Gelfand-Dickey flows, revisited, J. Inte- grable Syst. 2 (2017) <\li>
- (with Z. Wu) Isotropic curve flows, to appear in Comm. Anal. Geom. <\li>
- The geometric Airy curve flow on Rn, to appear in Surveys in Differential Geometry XXIII <\li>