Results 91 to 100 of about 5,115 (226)
The Secondary Chern–Euler Class for a General Submanifold
, 2012 We define and study the secondary Chern–Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study the index for a vector field with non-isolated singularities on a submanifold.
Zhaohu Nie
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A complete bounded complex submanifold of 𝐶³
, 1979 We produce an example of a bounded complete complex submanifold of C 3 {{\mathbf {C}}^3} . This is accomplished by using the duality between
Peter W. Jones
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Graded lagrangian submanifolds [PDF]
Bulletin de la Société mathématique de France, 2000 LaTex2e, 32 pages, one eps ...
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ON THE GEOMETRY OF PARACOMPLEX SUBMANIFOLDS
Demonstratio Mathematica, 2001 The paracomplex submanifolds \(M\) in an almost parahermitian manifold (\(\overline M,\overline J,\overline g)\) with \(\overline J^2=I\), \(\overline g(X,\overline JY)+\overline g(\overline JX,Y)=0\) are characterized by \(\overline J(T_xM)=T_xM\) [see \textit{V. Cruceanu}, \textit{P. Fortuny} and \textit{P. M. Gradea} in Rocky Mt. J. Math. 26, 83-115
Al-Aqeel, Adnan, Bejancu, Aurel
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Submanifold Dirac operators with torsion
, 2004 The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this ar-ticle, we will give a submanifold Dirac operator defined over a surface immersed in E4 with U(1 ...
Shigeki Matsutani
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Critical points of the distance function to a generic submanifold
International audienceIn general, the critical points of the distance function d_M to a compact submanifold M ⊂ R^D can be poorly behaved. In this article, we show that this is generically not the case by listing regularity conditions on the critical and
Arnal, Charles +2 more
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Quasi umbilical submanifold of KH-structure manifold
, 2012 The purpose of the present paper is to study the quasi umbilical submanifold of co-dimension-2 of KH-structure manifold. Hypersurfaces immersed in an almost hyperbolic Hermite manifolds studied by Dube [4].
Lal, Shankar
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Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form
MathematicsIn the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which
Fatimah Alghamdi, Akram Ali
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First eigenvalue of submanifolds in Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2000 We give some estimates of the first eigenvalue of the Laplacian for compact and non-compact submanifold immersed in the Euclidean space by using the square length of the second fundamental form of the submanifold merely.
Kairen Cai
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On the intersection of varieties with a totally real submanifold
, 1987 In their work on uniqueness in the Cauchy problem for CR functions, Baouendi and Treves have utilized a condition on a totally real submanifold M M in a neighborhood of one of its points p p : There should exist a ...
Howard Jacobowitz
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