[PDF] Top 20 Isotropic Lagrangian Submanifolds in Complex Space Forms
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Isotropic Lagrangian Submanifolds in Complex Space Forms
... semi-parallel submanifolds are generalized parallel ...parallel submanifolds in real space forms is still an open problem, although several authors have obtained many important ...of ... See full document
6
Moduli space and deformations of special Lagrangian submanifolds with edge singularities
... differential forms in T ∧ ∗ M have a degenerate behavior compatible with the edge singularity of M in the sense that their degenerations are induced by the pairing of the edge metric g M with edge-degenerate ... See full document
92
Polynomial and Rational Convexity of Submanifolds of Euclidean Complex Space
... analysis of the phase portrait of (2.4.1) becomes more complicated. For clar- ity, throughout this dissertation we deal with only isolated singular points so, in this case, the origin is such a point. In the proof of ... See full document
75
Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
... and the Casorati curvature of a Kähler hypersurface in a complex space form. Moreover, the same authors proved in [] an inequality in which the scalar curvature is estimated from above by the normalized ... See full document
10
Curvature Inequalities for Submanifolds of S-space From
... in submanifolds conjectures is to derive relationship among squared mean curvature and Ricci curvature of submanifolds, was explained by Chen [6], ...for complex and contact space forms ... See full document
8
Biharmonic Maps into S-Space forms
... The biharmonic maps theory is an old and attractive subject. They have been studied since 1862 by Maxwell and Airy to describe a mathematical model of elasticity. The Euler-Lagrange equation for bienergy functional was ... See full document
10
A basic inequality for submanifolds in a cosymplectic space form
... anti-invariant submanifolds in complex space forms M(4c) as remarked in ...a complex space ...arbitrary submanifolds in the complex hyperbolic space CH m ... See full document
9
Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi symmetric metric connections
... real space form using the scalar curvature and the sectional curvature, and the squared mean ...real space forms with any codimensions in ...of submanifolds in various ambient spaces, like ... See full document
9
Intersection of almost complex submanifolds
... complex structure J . In this case, any almost Hermitian metric of the base manifold (M, J) induces an almost complex structure of the total space of the complex line bundle Λ − J . The ... See full document
40
Ricci curvature of submanifolds in Kenmotsu space forms
... On the other hand, Yano and Ishihara [8] considered a submanifold M whose tan- gent bundle T M splits into a complex subbundle Ᏸ and a totally real subbundle Ᏸ ⊥ . Later, such a submanifold was called a ... See full document
8
Screen conformal half lightlike submanifolds
... 2. Half-lightlike submanifolds. Let ( M, ¯ g) ¯ be an (m + 2)-dimensional (m > 1) semi- Riemannian manifold of index q ≥ 1 and M a submanifold of codimension 2 of ¯ M. In case ¯ g is degenerate on the tangent ... See full document
17
Skew symmetric vector fields on a CR submanifold of a para Kählerian manifold
... Theorem 2.1 . Let x : M → M be an improper immersion of a CR-submanifold in a para-Kählerian manifold M(J, Ω, g) and let D (resp., D ⊥ ) be the horizontal distribution (resp., the vertical distribution) on M. If M is a ... See full document
6
Commuting Structure Jacobi Operator for Real Hypersurfaces in Complex Space Forms
... is said to be a structure Jacobi operator on M . The structure Jacobi operator has a fundamental role in contact geometry. In [6], Cho and first author started the study on real hypersurfaces in complex ... See full document
13
Deformation of generic submanifolds in a complex manifold
... generic submanifolds of a complex manifold (with respect to the strong or Whitney topology, see ...a complex manifold such that dim C X < dim R M < 2 dim C ... See full document
24
First eigenvalue of submanifolds in Euclidean space
... According to Nash’s imbedded theorem, every Riemannian manifold can be iso- metrically imbedded in a Euclidean space of sufficiently large dimension. It is very significant to investigate the geometry of submanifold ... See full document
6
Micro structure and Lagrangian statistcs of the scalar field with a mean gradient in isotropic turbulence
... of isotropic turbulence together with a scalar with a linear mean gradient, we have studied the micro-scales of the scalar fluctuation field in terms of the structures of the turbulence velocity field and of the ... See full document
34
Search | Preprints
... Sitter space–time by a Wick ...Sitter space–time on a 4D hyperplane tangent to the hyperboloid in the point-event of observation is known as “Castelnuovo chrono- ...“enlarged” space-time. The ... See full document
23
A note on Chen's basic equality for submanifolds in a Sasakian space form
... for submanifolds in a complex space ...Sasakian space form ˜ M(c) tangential to the structure vector field ξ in [7], the authors established the following Chen’s basic ... See full document
6
Markov numbers and Lagrangian cell complexes in the complex projective plane
... of Lagrangian pinwheels which cannot be displaced from one ...immersed submanifolds it is not clear how to prove this nondisplace- ability result using classical Floer ... See full document
32
Unidimensional Inhomogeneous Isotropic Elastic Half Space
... Transition to integro-differential (or integral) equations is an effective method of a solution of problems for a half-space (or a layer) with arbitrary heterogeneity. It is very important that the solution of an ... See full document
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