Tangent bundle of the hypersurfaces in a Euclidean space.
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Displaying 1 – 20 of 33
Tangent sphere bundles of natural diagonal lift type.
Druţă, S.L., Oproiu, V. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
The almost Einstein operator for distributions
Katja Sagerschnig, Travis Willse (2017)
Archivum Mathematicum
For the geometry of oriented distributions , which correspond to regular, normal parabolic geometries of type for a particular parabolic subgroup , we develop the corresponding tractor calculus and use it to analyze the first BGG operator associated to the -dimensional irreducible representation of . We give an explicit formula for the normal connection on the corresponding tractor bundle and use it to derive explicit expressions for this operator. We also show that solutions of this operator...
The Classification of ...-symmetric Sasakian Manifolds.
O. Kowalski, J.A. Jiménez (1993)
Monatshefte für Mathematik
The Closed Geodesics of a Special Manifold.
Grigorios Tsagas (1972)
Mathematische Annalen
The Cut Locus of Noncompact Finitely Connected Surfaces Without Conjugate Points
Patrick Eberlein (1976)
Commentarii mathematici Helvetici
The Dirac operator on collapsing -bundles
Bernd Ammann (1997/1998)
Séminaire de théorie spectrale et géométrie
The Dolbeault operator on Hermitian spin surfaces
Bodgan Alexandrov, Gueo Grantcharov, Stefan Ivanov (2001)
Annales de l’institut Fourier
We prove the vanishing of the kernel of the Dolbeault operator of the square root of the canonical line bundle of a compact Hermitian spin surface with positive scalar curvature. We give lower estimates of the eigenvalues of this operator when the conformal scalar curvature is non -negative.
The eta invariant and metrics of positive scalar curvature.
Peter B. Gilkey, Boris Botvinnik (1995)
Mathematische Annalen
The Evolution of the Weyl Tensor under the Ricci Flow
Giovanni Catino, Carlo Mantegazza (2011)
Annales de l’institut Fourier
We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.
The explicit construction of Einstein Finsler metrics with non-constant flag curvature.
Guo, Enli, Mo, Xiaohuan, Zhang, Xianqiang (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
The f-sectional curvature of f-Kaehlerian manifolds
Barbara Opozda (1983)
Annales Polonici Mathematici
The geometry and topology of 3-Sasakian manifolds.
Charles P. Boyer, K. Galicki, B. Mann (1994)
Journal für die reine und angewandte Mathematik
The L2-Structure of Moduli spaces of Einstein Metrics on 4-Manifolds.
M. Anderson (1992)
Geometric and functional analysis
The laplacian on asymptotically flat manifolds and the specification of scalar curvature
Murray Cantor, Dieter Brill (1981)
Compositio Mathematica
The local moduli of Sasakian 3-manifolds.
Guilfoyle, Brendan S. (2002)
International Journal of Mathematics and Mathematical Sciences
The Schläfli formula in Einstein manifolds with boundary.
Rivin, Igor, Schlenker, Jean-Marc (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures
Zbigniew Olszak (2013)
Publications de l'Institut Mathématique
The Soliton-Ricci Flow with variable volume forms
Nefton Pali (2016)
Complex Manifolds
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the Soliton-Ricci flow. It corresponds to a forward Ricci type flow up to a gauge transformation. This gauge is generated by the gradient of the density of the volumes. The new Soliton-Ricci flow exist for all times. It represents the gradient flow of...
The Srní lectures on non-integrable geometries with torsion
Ilka Agricola (2006)
Archivum Mathematicum
This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the notions of...
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