Results 11 to 20 of about 408 (49)
A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 183-195, 2001., 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive ...
Vasile Oproiu
wiley +1 more source
On CR‐submanifolds of the six‐dimensional sphere
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 201-203, 1995., 1995 We consider proper CR‐submanifolds of the six‐dimensional sphere S6. We prove that S6 does not admit compact proper CR‐submanifolds with non‐negative sectional curvature and integrable holomorphic distribution.
M. A. Bashir
wiley +1 more source
CR‐hypersurfaces of complex projective space
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 613-616, 1994., 1994 We consider compact n‐dimensional minimal foliate CR‐real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2‐dimensional sphere provided that the square of the length of the second fundamental form is less than or equal to n − 1.
M. A. Bashir
wiley +1 more source
On the integrability of a K‐conformal killing equation in a Kaehlerian manifold
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 525-531, 1991., 1991 We show that necessary and sufficient condition in order that K‐ conformal Killing equation is completely integrable is that the Kaehlerian manifold K2m(m > 2) is of constant holomorphic sectional curvature.
Kazuhiko Takano
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Locally conformal symplectic nilmanifolds with no locally conformal K\"ahler metrics [PDF]
, 2014 We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal K\"ahler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.Comment: 7 pages, no figures.
Carlos Marrero, Giovanni Bazzoni, Juan
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The weighted Laplacians on real and complex metric measure spaces
, 2014 In this short note we compare the weighted Laplacians on real and complex (K\"ahler) metric measure spaces. In the compact case K\"ahler metric measure spaces are considered on Fano manifolds for the study of K\"ahler-Einstein metrics while real metric ...
Futaki, Akito
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A neutral relation between metallic structure and almost quadratic {\phi}-structure
, 2018 In this paper, metallic structure and almost quadratic metric phi-structure are studied. Based on metallic (polynomial) Riemannian manifold, Kenmotsu quadratic metric manifold, cosymplectic quadratic metric manifold are defined and gave some examples ...
Erken, İrem Küpeli +3 more
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On totally umbilical CR‐submanifolds of a Kaehler manifold
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 405-408, 1993.
M. A. Bashir
wiley +1 more source
On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds
Complex ManifoldsWe can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj +1 more source
Similarity of Operators in the Bergman Space Setting
, 2012 We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where ...
Douglas, Ronald G. +2 more
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