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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
vote
1
answer
712
views
Mean curvature calculated using second order derivation of the second fundamental form
Is there a formula for calculating the mean curvature tensor using Ricci tensor, Gauss curvature tensor and the second order derivative of the second fundamental form? More precisely, I found some for …
0
votes
0
answers
308
views
Quaternion Kaehlerian manifold, definition
Hello,
I am reading the paper of S. Ishihara, Quaternion Kaehlerian manifolds, I need it for understanding of totally complex submanifolds in quaternion Kaehlerian manifolds.
I am afraid that I don't …
1
vote
3
answers
381
views
Totally complex submanfiolds in quaternionic Kaehlerian manifolds
Hello,
I would like to know some examples of totally complex submanifolds in quaternionic Kaehlerian manifolds, is there any references in which I could find them? So far I could not find.
Also, the …
3
votes
2
answers
448
views
Jordan algebra and quaternionic projective space
How we can define quaternionic projective space and metric on it using Jordan algebra?
Thank you in advance!