Results 111 to 120 of about 2,699,199 (290)

A Survey of Riemannian Contact Geometry

Complex Manifolds, 2019
This survey is a presentation of the five lectures on Riemannian contact geometry that the author gave at the conference “RIEMain in Contact”, 18-22 June 2018 in Cagliari, Sardinia.
Blair David E.
doaj   +1 more source

Eells-Sampson type theorems for subelliptic harmonic maps from sub-Riemannian manifolds [PDF]

arXiv, 2019
In this paper, we consider critical maps of a horizontal energy functional for maps from a sub-Riemannian manifold to a Riemannian manifold. These critical maps are referred to as subelliptic harmonic maps. In terms of the subelliptic harmonic map heat flow, we investigate the existence problem for subelliptic harmonic maps.
arxiv  

ON RIEMANNIAN MANIFOLDS OF CONSTANT NEGATIVE CURVATURE [PDF]

Journal of the Korean Mathematical Society, 2011
In this paper, we study the fundamental group and orbits of cohomogeneity two Riemannian manifolds of constant negative curvature.
openaire   +1 more source

Notes on Feynman path integral-like methods of quantization on Riemannian manifolds [PDF]

arXiv, 2015
We propose an alternative method for Feynman path integrals on compact Riemannian manifolds. Our method employs action integrals along the shortest paths. In the case of rank 1 locally symmetric Riemannian manifolds, we prove the strong convergence of time slicing products of oscillatory integrals for low energy functions.
arxiv  

On Slant Riemannian Submersions For Cosymplectic Manifolds [PDF]

arXiv, 2013
In this paper we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifolds. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions according to characteristic ...
arxiv  

On compact Riemannian manifolds with harmonic weyl curvature [PDF]

arXiv, 2018
We give some rigidity theorems for an n$(\geq4)$-dimensional compact Riemannian manifold with harmonic Weyl curvature, positive scalar curvature and positive constant $\sigma_2$. Moreover, when $n=4,$ we prove that a 4-dimensional compact locally conformally flat Riemannian manifold with positive scalar curvature and positive constant $\sigma_2$ is ...
arxiv  

Geometric realizations of curvature models by manifolds with constant scalar curvature [PDF]

arXiv, 2008
We show any Riemannian curvature model can be geometrically realized by a manifold with constant scalar curvature. We also show that any pseudo-Hermitian curvature model, para-Hermitian curvature model, hyper-pseudo-Hermitian curvature model, or hyper-para-Hermitian curvature model can be realized by a manifold with constant scalar and *-scalar ...
arxiv  

Closed geodesics on certain Riemannian manifolds of positive curvature [PDF]

, 1966
Yôtarô Tsukamoto
openalex   +1 more source

Curvatures of homogeneous sub-Riemannian manifolds [PDF]

European Journal of Mathematics, 2017
The author proved in the late 1980s that any homogeneous manifold with an intrinsic metric is isometric to some homogeneous quotient space of a connected Lie group by its compact subgroup with an invariant Finslerian or sub-Finslerian metric. In the case of a trivial compact subgroup, the invariant Riemannian or sub-Riemannian metrics are singled out ...
openaire   +2 more sources

Directed Riemannian manifolds of pointwise constant relative sectional curvature [PDF]

Comptes rendus de l'Academie bulgare des Sciences Tome 66, No 11, 2013, 1505-1514 MATHEMATIQUES Geometrie dierentielle, 2013
We study a class of Riemannian manifolds with respect to the covariant derivative of their curvature tensors. We introduce geometrically the class of directed Riemannian manifolds of pointwise constant relative sectional curvature and give a tensor characterization for such manifolds. We prove that all rotational hypersurfaces are directed and find the
arxiv