Cheng, S. Y.; Yau, Shing-Tung Differential equations on Riemannian manifolds and their geometric applications. (English) Zbl 0312.53031 Commun. Pure Appl. Math. 28, 333-354 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 18 ReviewsCited in 323 Documents MSC: 53C20 Global Riemannian geometry, including pinching 31A05 Harmonic, subharmonic, superharmonic functions in two dimensions 31A35 Connections of harmonic functions with differential equations in two dimensions 31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions 31B35 Connections of harmonic functions with differential equations in higher dimensions 31C05 Harmonic, subharmonic, superharmonic functions on other spaces 35P15 Estimates of eigenvalues in context of PDEs 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov) 58J40 Pseudodifferential and Fourier integral operators on manifolds PDF BibTeX XML Cite \textit{S. Y. Cheng} and \textit{S.-T. Yau}, Commun. Pure Appl. Math. 28, 333--354 (1975; Zbl 0312.53031) Full Text: DOI References: [1] Theory of Minimal Surfaces and a Counter-Example to the Bernstein Conjecture in High Dimension, Lectures at the Courant Institute, New York University, 1970. [2] Calabi, Duke Math. J. 25 pp 45– (1958) [3] Keller, Comm. Pure Appl. Math. 10 pp 503– (1957) [4] Klotz, Comment. Math. Helv. 41 pp 313– (1966) [5] Milnor, J. Diff. Geom. 2 pp 1– (1968) [6] Osserman, Pacific J. Math. 7 pp 1641– (1957) · Zbl 0083.09402 · doi:10.2140/pjm.1957.7.1641 [7] Redheffer, J. Math. Anal. Appl. 1 pp 277– (1960) [8] Complete Hypersurfaces with Constant Scalar Curvature, Lecture Notes, A.M.S. Symposium, Stanford 1973. [9] Harmonic functions on Riemannian manifolds, to appear. · Zbl 0267.31008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.