Results 1 to 10 of about 2,721,399 (266)
On the total absolute curvature of manifolds immersed in Riemannian manifold [PDF]
Kodai Mathematical Journal, 1967 Willmore and Saleemi [12] had generalized Chern-Lashof s results by definingthe total curvature of an orientable manifold immersed in a Riemannian manifold,but unfortunately, the results contained mistakes, and hence they are false.The object of this paper is to generalize the Lipschitz-Killing curvature to themanifolds immersed in a complete, simply ...
Bang‐Yen Chen
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Sectional curvature for Riemannian manifolds with density [PDF]
Geometriae Dedicata, 2015 In this paper we introduce two new notions of sectional curvature for Riemannian manifolds with density. Under both notions of curvature we classify the constant curvature manifolds. We also prove generalizations of the theorems of Cartan-Hadamard, Synge,
Wylie, William
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Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]
HeliyonThis paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman +3 more
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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.
Erken, İrem Küpeli +1 more
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On the curvatures of Riemannian manifolds [PDF]
Illinois Journal of Mathematics, 1966 J. A. Thorpe
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Curvature Properties of Two Naveira Classes of Riemannian Product Manifolds [PDF]
arXiv, 2012 The main aim of the present work is to obtain some curvature properties of the manifolds from two classes of Riemannian product manifolds. These classes are two basic classes from Naveira classification of Riemannian almost product manifolds.
Dobrinka Gribacheva
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Multiscale Differential Geometry Learning for Protein Flexibility Analysis. [PDF]
J Comput ChemProtein structure fluctuations, as measured by B‐factors, are closely linked to protein flexibility and function. Predicting B‐factors is an important research topic that has led to the development of various predictive models. Atomic interactions within proteins can be described using a family of low‐dimensional manifolds.
Feng H, Zhao JY, Wei GW.
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Complete curvature homogeneous pseudo-Riemannian manifolds [PDF]
Classical and Quantum Gravity, 2004 Update paper to fix misprints in original ...
Peter Gilkey, S Nik evi
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The global geometry of Riemannian manifolds with commuting curvature operators
, 2006 We give manifolds in both the Riemannian and in the higher signature settings whose Riemann curvature operators commute, i.e. which satisfy R(a,b)R(c,d)=R(c,d)R(a,b) for all tangent vectors. These manifolds have global geometric phenomena which are quite
Miguel Brozos‐Vázquez, Peter Gilkey
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On an isometry of Riemannian manifolds of negative curvature [PDF]
Kodai Mathematical Journal, 1974 Ryousuke Ichida
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