Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
Shing-Tung Yau (1975)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Biharmonic curves in Lorentzian para-Sasakian manifolds.”
Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
The rectifying developable and the spherical Darboux image of a space curve
Shyuichi Izumiya, Haruyo Katsumi, Takako Yamasaki (1999)
Banach Center Publications
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In this paper we study singularities of certain surfaces and curves associated with the family of rectifying planes along space curves. We establish the relationships between singularities of these subjects and geometric invariants of curves which are deeply related to the order of contact with helices.
Some examples of Randers spaces.
Anastasiei, M., Gheorghe, M. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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The third Betti number of a positively pinched riemannian six manifold
Walter Seaman (1986)
Annales de l'institut Fourier
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We prove that if the sectional curvature, , of a compact 6-manifold without boundary satisfies then its third (real) Betti number is zero.
Study of the limit of transmission problems in a thin layer by the sum theory of linear operators.
Angelo Favini, Rabah Labbas, Keddour Lemrabet, Stéphane Maingot (2005)
Revista Matemática Complutense
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Heat kernel on manifolds with ends
Alexander Grigor’yan, Laurent Saloff-Coste (2009)
Annales de l’institut Fourier
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We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate.
On one approach to investigation of mechanical systems.
Irtegov, Valentin D., Titorenko, Tatyana N. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods
Heinz Toparkus (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate...