2015 - Fellow of the American Mathematical Society For contributions to Riemannian geometry.
His work in Rank (graph theory) tackles topics such as Combinatorics which are related to areas like Topology (electrical circuits). His studies link Combinatorics with Topology (electrical circuits). His research on Pure mathematics often connects related topics like Homotopy. As part of his studies on Homotopy, Karsten Grove frequently links adjacent subjects like Pure mathematics. Karsten Grove carries out multidisciplinary research, doing studies in Geometry and Orbifold. In his works, he performs multidisciplinary study on Curvature and Ricci-flat manifold. In his work, he performs multidisciplinary research in Ricci-flat manifold and Ricci curvature. In his work, he performs multidisciplinary research in Ricci curvature and Ricci flow. His Ricci flow study frequently draws connections to other fields, such as Curvature.
As part of his studies on Pure mathematics, Karsten Grove often connects relevant areas like Homotopy. As part of his studies on Geometry, he often connects relevant areas like Scalar curvature. He integrates Scalar curvature with Sectional curvature in his research. He combines Sectional curvature and Curvature in his research. Karsten Grove carries out multidisciplinary research, doing studies in Curvature and Geometry. His research ties Geodesic and Mathematical analysis together. Geodesic and Mathematical analysis are commonly linked in his work. His Combinatorics study often links to related topics such as Topology (electrical circuits). His Topology (electrical circuits) study often links to related topics such as Combinatorics.
Karsten Grove combines topics linked to Annotation and Class (philosophy) with his work on Artificial intelligence. His research links Artificial intelligence with Class (philosophy). Karsten Grove integrates many fields, such as Programming language and engineering, in his works. In his works, Karsten Grove conducts interdisciplinary research on Algorithm and Programming language. His research on Pure mathematics frequently links to adjacent areas such as Equivariant map. Karsten Grove merges Curvature with Sectional curvature in his study. Sectional curvature and Scalar curvature are two areas of study in which Karsten Grove engages in interdisciplinary work. In his work, Karsten Grove performs multidisciplinary research in Scalar curvature and Curvature. In his work, he performs multidisciplinary research in Geometry and Isometry group.
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A generalized sphere theorem
Karsten Grove;Katsuhiro Shiohamas.
Annals of Mathematics (1977)
Curvature and symmetry of Milnor spheres
Karsten Grove;Wolfgang Ziller.
Annals of Mathematics (2000)
Positively curved manifolds with maximal symmetry-rank
Karsten Grove;Catherine Searle.
Journal of Pure and Applied Algebra (1994)
Bounding homotopy types by geometry
Karsten Grove;Peter Petersen.
Annals of Mathematics (1988)
Geometric finiteness theorems via controlled topology
Karsten Grove;Peter Petersen;Jyh-Yang Wu.
Inventiones Mathematicae (1990)
Diagonalizing matrices over C(X)
Karsten Grove;Gert Kjærgård Pedersen.
Journal of Functional Analysis (1984)
Critical point theory for distance functions
Amer. Math. Soc., Proc. Sympos. Pure Math. (1993)
How to Conjugate C1-Close Group Actions
Karsten Grove;Hermann Karcher.
Mathematische Zeitschrift (1973)
Cohomogeneity one manifolds with positive Ricci curvature
Karsten Grove;Wolfgang Ziller.
Inventiones Mathematicae (2002)
Jacobi Fields and Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems.
Karsten Grove;Hermann Karcher;Ernst A. Ruh.
Mathematische Annalen (1974)
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