Symmetry,
Год журнала:
2023,
Номер
15(10), С. 1841 - 1841
Опубликована: Сен. 28, 2023
In
this
manifestation,
we
explain
the
geometrisation
of
η-Ricci–Yamabe
soliton
and
gradient
on
Riemannian
submersions
with
canonical
variation.
Also,
prove
any
fiber
same
submersion
variation
(in
short
CV)
is
an
soliton,
which
called
solitonic
fiber.
under
setting,
inspect
in
a
φ(Q)-vector
field.
Moreover,
provide
example
submersions,
illustrates
our
findings.
Finally,
explore
some
applications
along
cohomology,
Betti
number,
Pontryagin
classes
number
theory.
Mathematics,
Год журнала:
2023,
Номер
11(23), С. 4718 - 4718
Опубликована: Ноя. 21, 2023
In
the
present
paper,
we
investigate
geometry
and
topology
of
warped
product
Legendrian
submanifolds
in
Sasakian
space
forms
D2n+1(ϵ)
obtain
first
Chen
inequality
that
involves
extrinsic
invariants
like
mean
curvature
length
warping
functions.
This
also
intrinsic
(δ-invariant
sectional
curvature).
addition,
an
integral
bound
is
provided
for
Bochner
operator
formula
compact
terms
gradient
Ricci
curvature.
Some
new
results
on
vanishing
are
presented
as
a
partial
solution
to
well-known
problem
given
by
S.S.
Chern.
AIMS Mathematics,
Год журнала:
2024,
Номер
9(9), С. 26049 - 26064
Опубликована: Янв. 1, 2024
<p>This
study
examines
the
local
singularities
of
tube
surfaces,
especially
those
swept
surfaces
$
(SS)
in
Euclidean
3-space
\mathcal{E}^{3}
$.
SS
is
created
by
moving
a
planar
curve
through
space
such
that
trajectory
any
point
on
surface
remains
perpendicular
to
plane.
The
Type-2
Bishop
frame
considered,
and
these
are
analyzed.
Examples
offered
illustrated.</p>
International Journal of Geometric Methods in Modern Physics,
Год журнала:
2023,
Номер
20(11)
Опубликована: Апрель 23, 2023
In
this
paper,
we
define
the
notion
of
Bott
connection
in
Heisenberg
group
[Formula:
see
text]
and
derive
expression
by
using
Levi-Civita
connection.
Moreover,
expressions
killing
vector
fields
equation
obtain
some
explicit
formulas
for
magnetic
curves
associated
to
Furthermore,
give
examples
curves.
International Journal of Geometric Methods in Modern Physics,
Год журнала:
2023,
Номер
20(12)
Опубликована: Май 23, 2023
The
movement
of
a
thin
vortex
in
viscous
fluid
by
the
motion
curve
propagating
Lorentz–Minkowski
space
[Formula:
see
text]
is
described
filament
or
smoke
ring
equation
and
can
be
viewed
as
dynamical
system
on
curves
text].
This
paper
investigates
harmonic
evolute
surfaces
time-like
Hasimoto
Also,
we
discuss
geometric
properties
these
surfaces,
namely,
obtain
Gaussian
mean
curvatures
first
second
fundamental
forms.
As
verification,
construct
concrete
example
for
meant
to
demonstrate
our
theoretical
results.
Symmetry,
Год журнала:
2023,
Номер
15(10), С. 1841 - 1841
Опубликована: Сен. 28, 2023
In
this
manifestation,
we
explain
the
geometrisation
of
η-Ricci–Yamabe
soliton
and
gradient
on
Riemannian
submersions
with
canonical
variation.
Also,
prove
any
fiber
same
submersion
variation
(in
short
CV)
is
an
soliton,
which
called
solitonic
fiber.
under
setting,
inspect
in
a
φ(Q)-vector
field.
Moreover,
provide
example
submersions,
illustrates
our
findings.
Finally,
explore
some
applications
along
cohomology,
Betti
number,
Pontryagin
classes
number
theory.
