What is he best known for?
The fields of study Karsten Grove is best known for:
- Ricci curvature
- Lie group
- Scalar curvature
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.
His most cited work include:
- A Generalized Sphere Theorem (263 citations)
- Curvature and Symmetry of Milnor Spheres (209 citations)
- Cohomogeneity one manifolds with positive Ricci curvature (141 citations)
What are the main themes of his work throughout his whole career to date
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 most often published in these fields:
- Pure mathematics (88.24%)
- Geometry (50.98%)
- Mathematical analysis (41.18%)
What were the highlights of his more recent work (between 2009-2016)?
- Pure mathematics (80.00%)
- Curvature (60.00%)
- Geometry (60.00%)
In recent works Karsten Grove was focusing on the following fields of study:
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.
Between 2009 and 2016, his most popular works were:
- An Exotic $${T_{1}\mathbb{S}^4}$$ with Positive Curvature (55 citations)
- Polar manifolds and actions (31 citations)
- Lifting group actions and nonnegative curvature (28 citations)
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