Results 31 to 40 of about 1,619 (92)
Landau-Kolmogorov type inequalities for curves on Riemannian manifolds
Mathematical Inequalities & Applications, 2019 We obtain Landau-Kolmogorov type inequalities for mappings defined on the whole real axis and taking values in Riemannian manifolds. In terms of an auxiliary convex function, we find conditions under which the boundedness of covariant derivative along ...
I. Parasyuk
semanticscholar +1 more source
Almost quarter-pinched K\"ahler metrics and Chern numbers
, 2009 We prove that compact K\"ahler manifolds whose sectional curvatures are close to 1/4-pinched have ratios of Chern numbers close to the corresponding ratios of a complex hyperbolic space form.
Deraux, Martin, Seshadri, Harish
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Submanifolds of Euclidean space with parallel mean curvature vector
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 533-536, 1991., 1990 The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle. First we prove that there does not exist an n‐dimensional compact simply connected totally real submanifold in R2n whose mean curvature vector is parallel.
Tahsin Ghazal, Sharief Deshmukh
wiley +1 more source
Weakly Noncollapsed RCD Spaces with Upper Curvature Bounds
Analysis and Geometry in Metric Spaces, 2019 We show that if a CD(K, n) space (X, d, f ℋn) with n ≥ 2 has curvature bounded above by κ in the sense of Alexandrov then f is constant.
Kapovitch Vitali, Ketterer Christian
doaj +1 more source
On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
doaj +1 more source
Conformal holomorphically projective mappings satisfying a certain initial condition
, 2013 In this paper we study conformal holomorphically projective mappings between conformal e-Kähler manifolds Kn=.M; g; F / and N Kn=. N M; N g; N F /, i. e. diffeomorphisms f : M ! N M satisfying f D f1 f2 f3, where f1; f3 are conformal mappings and f2 is a
H. Chudá, M. Shiha
semanticscholar +1 more source
Volume Bounds for the Quantitative Singular Strata of Non Collapsed RCD Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2019 The aim of this note is to generalize to the class of non collapsed RCD(K, N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber for non collapsed Ricci limits in [13].
Antonelli Gioacchino +2 more
doaj +1 more source
On the topology of manifolds with positive isotropic curvature
, 2008 We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of $S^{n-1} \times S^1$.Comment: 5 Pages. To appear in Proc.
Gadgil, Siddartha, Seshadri, Harish
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A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
, 2015 We show in this short note that if a rational linear combination of Pontrjagin numbers vanishes on all simply-connected $4k$-dimensional closed connected and oriented spin manifolds admitting a Riemannian metric whose Ricci curvature is nonnegative and ...
Li, Ping
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Riemann Solitons on Homogeneous Siklos Spacetimes
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari +3 more
wiley +1 more source