Results 11 to 20 of about 10,692 (245)
Umbilicity of (Space-Like) Submanifolds of Pseudo-Riemannian Space Forms [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity.
S.M.B. Kashani
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Smarandache Curves in Minkowski Space-time [PDF]
, 2008 A regular curve in Minkowski space-time, whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache Curve.
Turgut, Melih +3 more
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Smarandache Breadth Pseudo Null Curves in Minkowski Space-time [PDF]
, 2009 A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache Breadth Curve [8]. In this short paper, we adapt notion of Smarandache breadth curves to Pseudo null curves in Minkowski space-time and study a special case of ...
Turgut, Melih, Melih Turgut
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Geometry without topology as a new conception of geometry
International Journal of Mathematics and Mathematical Sciences, 2002 A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Yuri A. Rylov
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Pour une théorie de la relativité géographique (Vers une généralisation du modèle gravitaire)
Cybergeo, 2006 Inspired by Newton's law of gravitation, gravity models appeared in geography more than one century ago. For about forty years, non-Euclidean spaces have been of current use in geography.
Daniel Parrochia
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Studies on Riemannian Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1955 The purpose of the present paper is to give the details of the results announced in the C. R. notes [7], [8] and [9].In I which corresponds to [7], we shall develop a method for the study of affine transformations of a Riemannian manifold and prove Lemma 5 which is fundamental for the results in I and II.
openaire +2 more sources
Riemannian Laplace Distribution on the Space of Symmetric Positive Definite Matrices
Entropy, 2016 The Riemannian geometry of the space Pm, of m × m symmetric positive definite matrices, has provided effective ...
Hatem Hajri +4 more
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On hypersurfaces in a locally affine Riemannian Banach manifold II
International Journal of Mathematics and Mathematical Sciences, 2004 In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products
Advances in Mathematical Physics, 2021 In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I×ρMfn whose fiber M has f ...
Ning Zhang
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On the Time-like Curves of Constant Breadth in Minkowski 3-Space [PDF]
, 2008 A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache breadth curve. In this paper, one studies a special case of Smarandache breadth curves. Some characterizations of the time-like curves of constant breadth in Minkowski
Yilmaz, Suha, Turgut, Melih
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