Akhil Ranjan

Generating author description...

All published works

Action	Title	Year	Authors
+	None	2003	Akhil Ranjan Hemangi Shah
+	Harmonic manifolds with minimal horospheres	2002	Akhil Ranjan Hemangi Shah
+	Convexity of spheres in a manifold without conjugate points	2002	Akhil Ranjan Hemangi Shah
+	Correction to: ``The first eigenvalue of $P$-manifolds''	2000	Akhil Ranjan G. Santhanam
+ PDF Chat	An intrinsic approach to Lichnerowicz conjecture	2000	Akhil Ranjan
+ PDF Chat	Finite dimensional imbeddings of harmonic spaces	1998	Koushik Ramachandran Akhil Ranjan
+	The first eigenvalue of P-manifolds	1997	Akhil Ranjan G. Santhanam
+	A generalization of Obata’s theorem	1997	Akhil Ranjan G. Santhanam
+	Harmonic manifolds with some specific volume densities	1997	Koushik Ramachandran Akhil Ranjan
+	Substantial Riemannian submersions ofS 15 with 7-dimensional fibres	1997	Akhil Ranjan
+	Almost Diameter Rigidity for the Cayley Plane	1997	Akhil Ranjan
+	Almost Diameter Rigidity for the Cayley Plane	1997	Akhil Ranjan
+	POLYNOMIAL REPRESENTATION OF TORUS KNOTS	1996	Akhil Ranjan Rama Shukla
+	A Pinching constant for harmonic manifolds	1996	Koushik Ramachandran Akhil Ranjan
+	Finite dimensional imbeddings of harmonic spaces	1996	Koushik Ramachandran Akhil Ranjan
+	A Pinching constant for harmonic manifolds	1996	Koushik Ramachandran Akhil Ranjan
+	Finite dimensional imbeddings of harmonic spaces	1996	Koushik Ramachandran Akhil Ranjan
+	An Intrinsic Approach to Lichnerowicz Conjecture	1996	Akhil Ranjan
+	Harmonic manifolds with some specific volume densities	1996	Koushik Ramachandran Akhil Ranjan
+	A Generalisation of Obata's theorem	1995	Akhil Ranjan G. Santhanam
+	Substantial Riemannian Submersions of S(15) with 7- dimensional fibres	1995	Akhil Ranjan
+	The First Eigenvalue of $P$-manifolds	1995	Akhil Ranjan G. Santhanam
+	Riemannian submersions of compact simple Lie groups with connected totally geodesic fibres	1986	Akhil Ranjan
+	Structural equations and an integral formula for foliated manifolds	1986	Akhil Ranjan
+	Riemannian submersions of spheres with totally geodesic fibres	1985	Akhil Ranjan
+	On invariant convex cones in simple Lie algebras	1982	S. Kumaresan Akhil Ranjan

Common Coauthors

Coauthor	Papers Together
Koushik Ramachandran	7
G. Santhanam	5
Hemangi Shah	3
S. Kumaresan	1
Rama Shukla	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Manifolds all of whose Geodesics are Closed	1978	Arthur L. Besse	13
+ PDF Chat	The Lichnerowicz conjecture on harmonic manifolds	1990	Zoltán Szabó	11
+	Riemannian submersions of spheres with totally geodesic fibres	1985	Akhil Ranjan	6
+ PDF Chat	A class of nonsymmetric harmonic Riemannian spaces	1992	Ewa Damek Fulvio Ricci	6
+	Eigenvalue inequalities for minimal submanifolds andP-manifolds	1984	Antonio R�os	5
+ PDF Chat	Riemannian submersions with totally geodesic fibers	1975	Richard H. Escobales	5
+ PDF Chat	On Riemannian manifolds with certain cut loci, II	1970	Hisao Nakagawa Katsuhiro Shiohama	4
+	Foundations of Differential Geometry	1963	Shôshichi Kobayashi Katsumi Nomizu	4
+	Fibrations of spheres by parallel great spheres and Berger's rigidity theorem	1987	Herman Gluck F. W. Warner Wolfgang Ziller	4
+ PDF Chat	A class of Riemannian metrics on a manifold	1968	Hideki Omori	4
+ PDF Chat	Sur les espaces riemanniens complètement harmoniques	1944	André Lichnerowicz	4
+	Géométrie des groupes de transformations	1958	André Lichnerowicz	4
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	3
+ PDF Chat	The low-dimensional metric foliations of Euclidean spheres	1988	Detlef Gromoll Karsten Grove	3
+	Spectral theory for operator families on Riemannian manifolds	1993	Zoltán Szabó	3
+	None	2003	Akhil Ranjan Hemangi Shah	2
+ PDF Chat	Certain conditions for a Riemannian manifold to be isometric with a sphere	1962	Morio Obata	2
+	One-Dimensional Metric Foliations in Constant Curvature Spaces	1985	Detlef Gromoll Karsten Grove	2
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	2
+	A Generalisation of Obata's theorem	1995	Akhil Ranjan G. Santhanam	2
+	A generalization of Obata’s theorem	1997	Akhil Ranjan G. Santhanam	2
+ PDF Chat	Higher torsion in 𝐻-spaces	1963	William Browder	2
+	Riemannian geometry	1987	Sylvestre Gallot	2
+ PDF Chat	On the foundations of differential geometry	1964	Ramón G. Rubio	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+ PDF Chat	The radius rigidity theorem for manifolds of positive curvature	1996	Frederick Wilhelm	2
+	Harmonic analysis on solvable extensions of H-type groups	1992	Ewa Damek Fulvio Ricci	2
+ PDF Chat	On surfaces with no conjugate points	1987	Werner Ballmann Michael Brin Keith Burns	2
+	Einstein Manifolds	1987	Arthur L. Besse	2
+	Riemannian Geometry	1990	Sylvestre Gallot Dominique Hulin Jacques Lafontaine	2
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	2
+	The volume of a small geodesic ball of a Riemannian manifold.	1974	Alfred Gray	2
+	Helical immersions into a unit sphere	1982	Kunio Sakamoto	2
+ PDF Chat	Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces	1995	Jürgen Berndt F. Tricerri L. Vanhecke	2
+ PDF Chat	Riemannian submersions from complex projective space	1978	Richard H. Escobales	2
+	Mean value inequalities	1999	Peter Li Jiaping Wang	1
+	An Intrinsic Approach to Lichnerowicz Conjecture	1996	Akhil Ranjan	1
+	The First Eigenvalue of $P$-manifolds	1995	Akhil Ranjan G. Santhanam	1
+	Ordinary Differential Equations.	1963	C. E. Langenhop G. Birkhoff G.-C Rota	1
+	Ordinary Differential Equations	1991	G. F. Carrier Carl E. Pearson	1
+	Ordinary Differential Equations	2017	John M. Stewart	1
+	The theory of convex homogeneous cones	1963	É. B. Vinberg	1
+ PDF Chat	On Riemannian manifolds with certain cut loci	1970	Hisao Nakagawa Katsuhiro Shiohama	1
+	Characteristic Classes. (AM-76)	1974	John Milnor James Stasheff	1
+	Spinors and Calibrations	1990	F. Reese Harvey	1
+	Totally geodesic foliations	1980	David L. Johnson Lee Whitt	1
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	1
+ PDF Chat	A generalization of Berger's theorem on almost $\frac 14$-pinched manifolds. II	1987	Oguz C. Durumeric	1
+	Introduction to Compact Transformation Groups	1972	Glen E. Bredon	1
+	Topological vector spaces, distributions and kernels	2006	François Trèves	1