Karsten Grove

Q: What Schools Are Affiliated With Karsten Grove

Karsten Grove is affiliated with the following schools: Aarhus University, University of California, Berkeley, University of Notre Dame, University of Copenhagen, University of Bonn

Karsten Grove's AcademicInfluence.com Rankings

Karsten Grove

Mathematics

#1798

World Rank

#2875

Historical Rank

Measure Theory

#3115

World Rank

#3696

Historical Rank

mathematics Degrees

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Mathematics

Karsten Grove's Degrees

PhD Mathematics University of California, Berkeley

Why Is Karsten Grove Influential?

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According to Wikipedia, Karsten Grove is a Danish-American mathematician working in metric and differential geometry, differential topology and global analysis, mainly in topics related to global Riemannian geometry, Alexandrov geometry, isometric group actionss and manifolds with positive or nonnegative sectional curvature.

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Karsten Grove's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A generalized sphere theorem (1977) (282)
Curvature and symmetry of Milnor spheres (2000) (229)
Positively curved cohomogeneity one manifolds and 3-Sasakian geometry (2005) (152)
How to conjugateC1-close group actions (1973) (148)
Cohomogeneity one manifolds with positive Ricci curvature (2002) (146)
Geometric finiteness theorems via controlled topology (1990) (140)
Positively curved manifolds with maximal symmetry-rank (1994) (134)
Bounding homotopy types by geometry (1988) (129)
Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems (1974) (118)
Critical point theory for distance functions (1993) (116)
The low-dimensional metric foliations of Euclidean spheres (1988) (104)
Diagonalizing matrices over C(X) (1984) (101)
Dupin hypersurfaces, group actions and the double mapping cylinder (1987) (96)
Manifolds near the boundary of existence (1991) (92)
Group actions and curvature (1974) (76)
Differential topological restrictions curvature and symmetry (1997) (72)
A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry (2013) (70)
GEOMETRY OF, AND VIA, SYMMETRIES (2006) (70)
A generalization of Berger's rigidity theorem for positively curved manifolds (1987) (68)
A radius sphere theorem (1993) (67)
New extremal problems for the Riemannian recognition program via Alexandrov geometry (1995) (67)
An Exotic $${T_{1}\mathbb{S}^4}$$ with Positive Curvature (2011) (57)
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres (2006) (54)
Condition $(C)$ for the energy integral on certain path spaces and applications to the theory of geodesics (1973) (54)
Contributions of rational homotopy theory to global problems in geometry (1982) (54)
AN EXOTIC T1S 4 WITH POSITIVE CURVATURE (2011) (54)
On metrics onS2 all of whose geodesics are closed (1981) (50)
One-Dimensional Metric Foliations in Constant Curvature Spaces (1985) (49)
Lifting group actions and nonnegative curvature (2008) (41)
Hard and soft packing radius theorems (1995) (38)
A pinching theorem for homotopy spheres (1990) (38)
The rational homotopy theory of certain path spaces with applications to geodesics (1978) (35)
Metric differential geometri (1987) (35)
Isometry-invariant geodesics (1974) (34)
Sub-Stonean spaces and corona sets (1984) (34)
Polar manifolds and actions (2012) (33)
Tits Geometry and Positive Curvature (2012) (31)
Global G-Manifold Reductions and Resolutions (2000) (29)
On the number of invariant closed geodesics (1976) (29)
Developments around positive sectional curvature (2009) (26)
Rank two fundamental groups of positively curved manifolds (2000) (25)
Surveys in differential geometry. Vol. XI (2007) (25)
Erratum to Geometric finiteness theorems via controlled topology (1991) (24)
Symmetries of Eschenburg spaces and the Chern problem (2006) (23)
Metric constraints on exotic spheres via Alexandrov geometry. (1997) (22)
Controlled topology in geometry (1989) (21)
A positively curved manifold homeomorphic to T$_1$S$^4$ (2008) (20)
Volume comparison à la Aleksandrov (1992) (20)
Positively curved manifolds with low fixed point cohomogeneity (2004) (16)
Elliptic isometries, condition (C) and proper maps (1991) (16)
A new type of a positively curved manifold (2008) (16)
Curvature, triameter, and beyond (1992) (15)
Controlled algebraic K-theory, a survey. (2000) (14)
RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER (1982) (12)
Geodesics satisfying general boundary conditions (1973) (10)
Metric and comparison geometry (2007) (10)
HOMOTOPY TYPES OF POSITIVELY CURVED MANIFOLDS WITH LARGE VOLUME (1988) (9)
Reflection groups in non-negative curvature (2014) (7)
Center of mass and $G$-local triviality of $G$-bundles (1976) (7)
A correction on: "Differential topological restrictions by curvature and symmetry" (1998) (6)
The Boundary Conjecture for Leaf Spaces (2018) (6)
Almost non-negative curvature and rational ellipticity in cohomogeneity two (2020) (5)
Geometry and Topology: Aarhus (2000) (5)
The isometry-invariant geodesics problem: Closed and open (1985) (5)
Compactifying infinite group actions. (2000) (5)
Rigidity theorems for submetries in positive curvature (2014) (5)
Involution-invariant geodesics. (1975) (5)
The even dimensional pinching problem and SU(3)/T (1989) (4)
A Lens Rigidity Theorem in Alexandrov Geometry (2018) (4)
Rank three geometry and positive curvature (2016) (3)
Book Review: Metric structures for Riemannian and non-Riemannian spaces (2001) (3)
A panoramic glimpse of manifolds with sectional curvature bounded from below (2017) (3)
Metrie and Topological Measurements of Manifolds (2010) (2)
Alexandrov spaces with maximal radius (2018) (2)
Riemannian geometry : a metric entrance (1999) (2)
Aspects of comparison geometry (2006) (2)
RAMIFICATIONS OF THE CLASSICAL SPHERE THEOREM (1996) (1)
On The Classification of Positively Curved Manifolds with Cohomogeneity One (2005) (1)
Geometric finiteness theorems via controlled topology 4 ' (2005) (1)
Marcel Berger Remembered (2017) (1)
Integrability of $G$-structures and flat manifolds (1981) (1)
A POSITIVELY CURVED MANIFOLD (2009) (0)
Geometry and topology : Aarhus : Conference on Geometry and Topology, August 10-16, 1998, Aarhus University, Aarhus, Denmark (2000) (0)
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 81 , Number 1 , January 1975 GROUP ACTIONS AND CURVATURE BY (2007) (0)
Polar manifolds and actions (2012) (0)
MANIFOLDS WITH LOWER SECTIONAL CURVATURE BOUNDS AND ALEXANDROV GEOMETRY (2015) (0)
Volume and bounded cohomology . The topological rationality of linear representations . Homotopy representations of finite groups . Contributions of rational homotopy theory to global problems in geometry . The homotopy Lie algebra for finite complexes (1983) (0)
Confectionery, in particular in the form of a life baked product and process for their preparation (2008) (0)
Riemannian Submersions and Lie Groups Riemannian Submersions and Lie Groups (2005) (0)
LECTURES ON THE BLASCHKE CONJECTURE NOTES BY WERNER BALLMANN (2016) (0)
On pinched manifolds with fundamental group Z2 (2019) (0)
A process for preparing a bakery product (2007) (0)
53–03 Historical (must Also Be Assigned at Least One Classification Number from Section 01) (0)
Guest Editors' Introduction to a Special Issue in Memory of Alfred Gray (1939–1998) (2000) (0)
A process for preparing a confectionery (2011) (0)
ALEXANDROV GEOMETRY OF LEAF SPACES AND APPLICATIONS A Dissertation Submitted to the Graduate School of the University of Notre Dame in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy (2019) (0)

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What Schools Are Affiliated With Karsten Grove?

Karsten Grove is affiliated with the following schools:

Karsten Grove's Academic­Influence.com Rankings